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

Simplify the expression: log28

What is 3?

100

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

What is log41,024 = 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 log (base 3) 729 = 6 in exponential form.
What is 3^6=729 ?
200

Write the exponential equation 271/3= 3 in logarithmic form.

What is log273 = 1/3 ?

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

log3x = 5

What is x = 243 ?

300
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
300

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

What is log1/28 = -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: e2x=ex+4

What is x=4?

300
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
400
What is the asymptote of the graph of f(x) = log(x - 1) ?
What is x=1 ?
400
Is the graph y= .7^x increasing or decreasing, and is it a function?
What is decreasing and yes, a function?
400
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 35,000,000. Round your answer to four decimal places.
What is 7.5441 ?
400

Solve: 3e3-x= 15 Round your answer to two decimal places.

What is x= 1.39 ?

400
Solve: 3 ln x - 7 = 4 Round your answer to two decimal places.
What is x= 39.12 ?
500

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

What is x= -2 ?

500

Simplify ln e3x

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: -10+log3(x+3)=-10

What is x=-2

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