Logarithms and Exponentials Review

What is the range of the function
𝑓(𝑥)=4^𝑥−1+3?

• (3, ∞)

• (-∞, ∞)

• (1, ∞)

• (-∞, 3)

Describe the transformations of f(x) = -log₂(x + 1)

• left 1 & compress

• left one & reflect over the y-axis

• left one & reflect over the x-axis

• right one & reflect over the x axis

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

The number of bacteria in the colony grows continuously. The colony began with a population of 4000. In three days the population doubles.

What is the daily rate?

• 20%

• 23%

• 77%

• 80%

Rewrite each equation in logarithmic form.

• A

• B

• C

• D

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by