Exponential/Logarithm Quiz Review Game

Logs!

100

Simplify the expression: log₂ 8

What is 3?

200

Write the equation log₃ 729 = 6 in exponential form.

What is 3⁶=729 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 10³=1000 ?

400

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

What is right 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 log₄1,024 = 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 growth or decay and why?  (and not because the graph goes up or down:))

What is decay and b value is less than 1

500

Simplify ln e^3x

What is 3x?

Word Problems

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.

Use y= a (1+r)^t

What is 9,155 bacteria?

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?

300

What does the P in  y = P(1+r/n)^t stand for

What is principal?

400

In the equation y=  P(1 + r/n)^nt  if we are compounding quarterly, what would the n value be?

What is 4?

500

Mr. H wants to save $10,000 to buy a car.If he only has $6000 right now and he invests it at 15% interest, how long will it take him to afford the car?

What is 4 years?

Expand and Condense

100

Expand log(6xy)

What is log 6+ log x+ log y?

200

Condense:  log(x) - log(8)

What is log (x/8)?

300

Expand:  log (a²b⁵ / 3)

What is 2 log a + 5 log b - log 3?

400

​​​​Condense:  2 log x + 3 log y - log w

What is log (x²y³ / w)?

500

Name the three properties for expanding logs in order with correct changes:

What is Quotient (/ into - )

Product (x into + )

Power (exponent into coefficient)

Turn Back the Clock

100

Factor:  x² + 7x + 10

What is (x+5)(x+2)?

200

What is the domain of any growth function?

Negative infinity to positive infinity

300

Factor:  4x² - 49

What is (2x + 7)(2x - 7)?

400

Multiply:  (x - 4)(2x + 3)

What is 2x² - 5x - 12?

500

If f(x) = 3x + 1   and g(x) = 2x - 3, find f(g(3))

What is 10?