Solve 3^x - 5. What are the exact and approximate solutions?​

Answers

Answer 1

Answer:

x = log(5) / log(3)

x=1.46497

Step-by-step explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497


Related Questions

3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos

Answers

Answer:

c. 8 cubes

Step-by-step explanation:

In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.

The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces

Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold

Answers

Answer:

2720 oranges were sold

a food manufacturer recently developed a new preservative to extend the shelf life of its perishable food items. It makes two batches of the perishable items. The preservative is added only to the second batch. After some time, researcher compares the shelf life of the batches. which method is the researcher applying?

Answers

Answer:

The researcher is using the Experiment method

Step-by-step explanation:

Plato

Answer:

Experiment

Step-by-step explanation:

PLATO/Edmentum

I GOT IT RIGHT!!!

if b=6, what is 12b​

Answers

Answer:

72

Step-by-step explanation:

12b

Let b = 6

12*6

72

Answer:

72

Step-by-step explanation:

You have to take 12 times 6 because b=6.

so 12b=12 times 6

12 times 6= 72

Can someone help me with this please

Answers

X,y is 5(5y,-2y) and 5(y-2)

Choose the most appropriate name for the function described below.
The temperature of the coffee depends on the number of minutes it sits on
the desk.

Answers

Answer:

D. Temperature(minutes), or t(m)

Step-by-step explanation:

Option D is the correct answer.

( D.temperature(minutes), or t(m) )

Step-by-step explanation:

We are given that:

The temperature of the coffee depends on the number of minutes it sits on the desk.

i.e. the temperature(t) of coffee is a function of time in minutes (t).

i.e. times is a independent variable and temperature is a dependent variable.

Hence, the most appropriate name for the function described below is:

temperature(minutes), or t(m).

Hence, option D is correct.

Answer:

Temperature is the answer

Step-by-step explanation:

I got it right

A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.

Answers

Answer:

Step-by-step explanation:

70x4 is 280 plus 40 is 320.

Answer:

$320

Step-by-step explanation:

(4 x $70) + $40 is the equation

$280 + $40 = $320

$320

Can someone please help me I’m stuck I don’t know what

Answers

Answer:

x = 7.5

Step-by-step explanation:

Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values

[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees. What is mAnglePHJ? 100° 120° 140° 160°

Answers

Answer:

The answer is 120 degrees

Step-by-step explanation:

your welcome!!!!!!!!!!!!

Answer:

120

Step-by-step explanation:

edge 2022

George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years

Answers

Answer:

$1475.40

Step-by-step explanation:

Since the interest is two times per year for 5 years, do this 10 times:

1) 750*0.07=52.5

750+52.5=802.5

2) 802.5*0.07=56.18

802.5+56.18=858.69

3) 858.69*0.07=60.11

858.69+60.11=918.79

4) 918.79*0.07=64.32

918.79+64.32=983.11

5) 983.11*0.07=68.82

983.11+68.82=1051.93

6) 1051.93*0.07=73.64

1051.93+73.64=1125.57

7) 1125.57*0.07=78.79

1125.57+78.79=1204.36

8) 1204.36*0.07=84.31

1204.36+84.31=1288.67

9) 1288.67*0.07=90.21

1288.67+90.21=1378.88

10) 1378.88*0.07=96.52

1378.88+96.52=1475.40

Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8

Answers

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

What’s the answer I need help plssssssssss

Answers

Answer:

[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

So A is the answer

Step-by-step explanation:

[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

Anyone know this ? Need help :(

Answers

Answer:

19

Step-by-step explanation:

We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.

Answer:

19

Step-by-step explanation:

(19^1/9)^9

19^(1/9*9)

19^1

19

What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)?

Answers

Answer:

0.350

Step-by-step explanation:

Probability is defined as the chances that an event will occur or not occur. The entire idea of probability has to do with 'chance' events. Thus, the probability that an event will surely occur is 1, while the probability that an event will never occur is zero. Probabilities range between 0-1.

Probability of an event is obtained from

Probability= expected outcome/total number of outcomes

In this case,

Expected outcome= 35

Total number of outcomes = 100

Probability= 35/100= 0.350

Which is equivalent to 4V91/2

Answers

Answer:

B.

Step-by-step explanation:

= [tex]\sqrt[4]{9} ^{x/2}[/tex]

= Since [tex]\sqrt[4]{} = 1/4[/tex]

= So,  [tex]9^{1/4*x/2}[/tex]

= [tex]9^{\frac{x}{8}[/tex]

Answer:

option B

Step-by-step explanation:

[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]

A jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green marbles. If one marble is randomly selected, what is the probability that it is red or green?

Answers

Answer:

1/2

Step-by-step explanation:

4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles

P( red or green) = red or green / total

                          = (4+5) / 18

                          = 9/18

                          =1/2

Answer:

50%

Step-by-step explanation:

4 red + 5 green = 9 marbles

total marbles = 18 marbles

9 is 50% of 18

This is the graph of f(x). Wha is the value of f(2)

Answers

Answer: 2

Step-by-step explanation:

They are saying that x equals 2, and the question is what the function is defined at when x = 2

Going to x = 2, the y value is just 2

The answer is 4.

f(2)=4

Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.

Answers

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

A brick weighs w
kg. Write an expression for the weight of 2 bricks

Answers

Answer:

2w

Step-by-step explanation:

weight of 1 brick = w

so to find the weight of 2, times it by 2, which leaves you with 2w

What are the odd numbers

Answers

Answer:

1,3,5,7,9....up to soon are odd numbers

Step-by-step explanation:

they are not divided by 2

Answer:

1,3,5,7,9

Step-by-step explanation:

i only need help with B

Answers

Answer:

it will take 3 sticks to make pattern n

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| |

How many moles of sulfate will be formed if you start with 2.80 moles of sodium hydroxide and you have an excess of sulfuric acid

Answers

Answer:

1.4 mol

Step-by-step explanation:

                                2NaOH    +     H2SO4 ----->  Na2SO4 + 2H2O

from reaction          2 mol                                      1 mol

given                       2.8 mol                                    x

x = (2.8*1)/2 = 1.4 mol

1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.

Answers

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

For which table would 70 be the missing value,x?

Answers

It is C

The Stone and Pounds

Answer:

c

Step-by-step explanation:

Las personas que venden computadoras en una tienda local ganan $100 en comisión por computadora por las primeras 5 computadoras que venden cada mes. Por cada computadora adicional que venden durante ese mes, la comisión por computadora es 1.5 veces la tarifa por las primeras cinco. ¿Cuál de las siguientes es la comisión total que gana una persona que venda 8 computadoras en un mes?
A. $190
B. $800
C. $950
D. $1,050 E. $1,200

Answers

La respuesta es D. $1,050

What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)

Answers

Answer:

[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Step-by-step explanation:

To find the product :

[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]

[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]

[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Some identities used:

1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]

2. [tex]\sqrt9 =3[/tex]

3. [tex]\sqrt{25} =5[/tex]

4. [tex]\sqrt x \times \sqrt x=x[/tex]

5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]

So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Answer:it’s b

Step-by-step explanation:

On edge

What are the domain and range of f(x) = |x + 6|?

Answers

Answer:

The domain is (-∞,∞)

The range is [0,∞)

Step-by-step explanation:

The graph will be a V shape facing upwards with a vertex of (-6,0)

Answer:

Domain = (-∞,∞)

Range = [0,∞)

Step-by-step explanation:

Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction

Answers

Question:

Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?

- [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]

Answer:

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;

First, divide numerator and denominator by 2

[tex]\frac{2/2}{6/2}[/tex]

Then simplify

2/2 = 1 and 6/2 = 3; So;

[tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]

Multiply numerator and denominator by 3

[tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]

Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]

Answer:

B

Step-by-step explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

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