Exponential/Logarithm Test Review Game

Logs!

1

Evaluate the expression: log₂ 8

What is 3?

2

Write the equation log₃ 729 = 6 in exponential form.

What is 3⁶=729 ?

3

Write the equation log 1000 = 3 in exponential form.

What is 10³=1000 ?

4

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

What is x=1?

5

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

What is x= -2 ?

Exponential EQ's

1

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

What is log₄ 1,024 = 5 ?

2

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

What is log₂₇ 3 = 1/3 ?

3

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

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

4

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

What is decreasing and yes, a function?

5

Simplify ln e^3x

What is 3x?

Word Problems

1

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?

2

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?

3

My "Clown at your Party" purchases a van to drive to parties for $20,000. The value of the van depreciates at a rate of 9% monthly each year. Find the value of the van after 8 years.

What is $9,708.66?

4

My "Clown at your Party" purchases a van to drive to parties for $20,000. The value of the van depreciates at a rate of 9% compounding monthly. Find the value of the van after 8 years.

What is $9,708.66?

5

You receive $58,216.71 from an account that earns 2.5% annual interest compounded continuously. How much did you deposit 12 years ago?

What is $43,128.00?

Solving Exponential EQ's

1

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

What is x=7?

2

Solve: 6(10^2x) = 48

What is x= (log 8)/2 ?

3

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

What is x=4?

4

Solve: 3e^{3 - x}= 15.

What is x= -ln (5) + 3?

5

Solve: 15^2x+1 + 2 = 4 

What is x = (log₁₅2 - 1)/2

Solving Log EQ's

1

Solve: log x = 3

What is 1000?

2

log₃ x = 5

What is x = 243 ?

3

Solve: ln x = 4 

What is x= e⁴ ?

4

Solve: 3 ln x - 7 = 4 

What is x= e^11/3?

5

Solve: log₄ x + log₄ (x - 12) = 3

What is x=16?