Exponential/Logarithm Test Review Game

Logs & Exponentials!

100

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

What is log_1/28 = -3?

200

Without a calculator, simplify the expression: log₆₄4

What is 1/3?

300

Simplify ln e^3x

What is 3x ?

400

Condense log 5 + 6log x - 3 log y

What is log (5x⁶)/y³ ?

500

Expand & simplify log (3x⁴)²

What is log 9 + 8 log x?

Graphs :)

100

State the transformation(s) needed to graph y = log x - 4 from its parent graph?

What is shift down 4 ?

200

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

What is x= -2 ?

300

State the domain and range for y = log (x+3) -2

What has a domain of (-3, positive infinity) and a range of all real numbers? 

400

State the y-intercept of y = 3^x+2 - 5

What is (0,4)?

500

Graph y = log₃(x-2). State the asymptote, domain and range.

See me for the answer...

Solving Exponential Equations

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=7

What is x is approximately 0.973...

400

Solve: 3e^{3 - x}= 15 Round your answer to 3 decimal places.

What is x is approximately 1.39...

500

Solve: 5^2x+1 + 2 = 4 Round your answer to 3 decimal places.

What is x is approximately -0.285 ?

Solving Log Equations

100

Solve: log x = 3

What is 1000?

200

log₃ (x-3) = 5

What is x = 246 ?

300

Solve: log₂(2x + 6) – log₂(2x) = 3

What is x=3/7 or x is approximately 0.429...

400

Solve: 3 ln x - 7 = 2 Round your answer to 3 decimal places.

What is x is approximately 20.085...

500

Solve log₉(-11x+2)=log₉(x²+30)

What is x = -7 and x = -4