Logarithms and Inverses

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)

Expand the logarithm expression

log 6x³y

• log 6x³ + log y

• log 6 + log x³ + log y

• 3 log 6 + log x + log y

• log 6 + 3log x + log y

Expand the logarithm expression

log 5x/4y

• log 5x + log 4y

• log 5x - 4log y

• (log 5 + log x) - (log 4 + logy)

• 5log x - 4 logy

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₆(2x + 16) = 3

• x = 2

• x = 100

• x = 116

• x = 50

Expand the logarithm

Determine if the function has an inverse function. If it does, then find the inverse function.

• no inverse

Use the properties of logarithms to retwrite

• A

• B

• C

• D