Key Features
Exponential/Logs
Word Problems
Solving Log EQ's
Solving Log EQ's
100

What is the range for the function y=-log10(x-2)+3?

What is all real numbers?

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: 25=x

What is x=32?

100

Solve: log10 x = 3

What is 1000?

200

What is the domain for the function y=log(x+2)-3

What is x>-2 ?

200

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

What is log27 3 = 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: log(x+2)+log(2)=log(2)

What is x=-1 ?

200

log3x = 5

What is x = 243 ?

300

What is the asymptote for the function y=log3(x+2)-3?

What is x=-2?

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: log2(x+4)-log2(2)=log2(14)

What is x=24?

300

Solve: log x = 4

What is x= 10,000 ?

400

What is the increasing/decreasing interval of the function f(x) = -log(x - 1)+3?

What is the decreasing interval (1, infinity)?

400

Write the equation log 1000 = 3 in exponential form.

What is 103=1000?

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: log(x-2)+log(3)=15

What is no solution?

400

Solve: log2(x+2)+log25=log220

What is x= 2 ?

500

What is the end behavior for the function f(x)= log(x + 2) -1 ?

What is the end behavior 

Left: x->-2 f(x)-> -infinity

Right: x-> infinity f(x)-> infinity

500

Turn into exponential form and solve: log28=x

What is 3?

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: log3(x+1)-log3(x)=log2(4)

What is x = .125 ?

500

Solve: log3(x-7)-log3(x)=-1

What is x=10.5

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