Precalculus Logarithmic and Exponential Function Review

Describe the transformation on the parent function.

• compressed horizontally and slid to the left

• stretched horizontally and slide to the right

Condense

• A

• B

• C

• D

log₈(xyz)

• 6log₈(xyz)

• log₈(x) - log₈(y) - 6log₈(z)

• log₈(x) + log₈(y) - log₈(z)

• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0

• 1

• 2

• 3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))

• log₂(x³yz)

• log₂(x³z/y)

• log₂(x³/(yz))

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

Is this exponential growth or decay?

• Growth

• Decay