Exponential/Logarithm Test Review Game

Logs!

100

Simplify the expression: log₂ 8

What is 3?

200

Write the equation log₃ 729 = 6 in exponential form.

What is 3^6=729 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 10^3=1000 ?

400

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

What is x=1 ?

500

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

What is x= -2 ?

Exponential EQ's

100

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

What is log₄ 1,024 = 5 ?

200

Write the exponential equation 27^(1/3) = 3 in logarithmic form.

What is log₂₇ 3 = 1/3 ?

300

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

What is log_(1/2) 8 = -3

400

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

What is decreasing and yes, a function?

500

Simplify log₁₀ 10^(3x)

What is 3x?

Solving Exponential EQ's

100

Solve: 8^(2x)=8^(x+7)

What is x=7?

200

Solve: 25^(x-4)=5^(3x+1)

What is x=-9 ?

300

Solve: e^(2x)=e^(x+4)

What is x=4?

400

Solve: 4^{(3 - x)}= 16 Round your answer to two decimal places.

What is x= 1 ?

500

Solve: 10^(2x+1) + 2 = 100,002 Round your answer to two decimal places.

What is x = 2 ?

Solving Log EQ's

100

Solve: log x = 3

What is 1000?

200

log3 x = 5

What is x = 243 ?

300

Solve: log_(1/2) x = -4 Round your answer to two decimal places.

What is x= 16 ?

400

Solve: 2 log₂ 2= x Round your answer to two decimal places.

What is x= 2 ?

500

Solve: x log_(1/4) 2² = 8

What is x=-8 ?