Logarithms and Inverses

State the property (s) used to simplify the expression log₄20 - 3log₄x = log₄(20/x³)

• Power Property

• Quotient Property

• Quotient and Power Property

• Product and Power Property

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Which of the following has this graph and its inverse?

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• 
• 
• 

When two functions are inverses of each other, their graphs are reflective over...

• y=x

• x-axis

• y-axis

are these inverse functions?

• no

• yes

• no way to tell

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

log₈(x) = 2

• x = 256

• x = 64

• x = 16

• x = 32

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

The inverse function of an exponential function is known as a...?

• quadratic function

• square root function

• absolute value function

• logarithmic function