Logs!
Exponential EQ's
Word Problems
Solving Exponential EQ's
Solving Log EQ's
100

Simplify the expression: log2 8

What is 3?

100

Write the exponential equation 45= 1,024 in logarithmic form.

What is log4 1,024 = 5 ?

100

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.

What is 9,155 bacteria?

100

Solve: 82x =8x+7

What is x=7?

100

Solve: log x = 3

What is 1000?

200

Write the equation log3 729 = 6 in exponential form.

What is 36=729 ?

200

Is the graph y= .7x increasing or decreasing, and is it a function?

What is decreasing, and it is a function?

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

200

Solve: 25x-4 =53x+1

What is x=-9 ?

200

log3(x) = 5

What is x = 243 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 103=1000 ?

300

Write the exponential equation (1/2)-3=8 in logarithmic form.

What is log1/2 8 = -3 ?

300

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 30,000,000. Round your answer to four decimal places.

What is 7.4771?

300

Solve: 52x = 5x+4

What is x=4?

300

Solve: 7 + log12(8x) = 7 

What is x= 1/8 ?

400

What is the asymptote of the graph of f(x) = log(x + 1) ?

What is x=-1 ?

400

Solve the following equation. Round your answer to the nearest hundredth. 

(-8)14x-8 = -72 

What is x = 8.83 ?

400

$4,000 is invested in a bank account earning 5.2% annually. How long, to the nearest tenth of a year, will it take the investment to double?

What is 13.7 years?

400

Solve: 3*23-x= 15 Round your answer to two decimal places.

What is x= 0.68 ?

400

Solve: 3log(x - 7) = 4 Round your answer to two decimal places.

What is x= 28.54 ?

500

What is the asymptote of the graph of f(x)= log(x + 2) -1 ?

What is x= -2 ?

500

Simplify log(10)3x

What is 3x?

500

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 7.567 Round your answer to four decimal places.

What is 36,897,759.8570?

500

Solve: 102x+1 + 2 = 4 Round your answer to two decimal places.

What is x = -0.35 ?

500

Solve: 2log5(x)=log5(x+6)

What is x=3 and x = -2 ?

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