Exponential Logarithm

Expand.

• 1/3 log x + log y + log z

• 1/3 log x + 1/3 log y + 1/3 log z

• 1/3 log x - 1/3 log y - 1/3 log z

• 3 log x + 3 log y + 3 log z

Expand.

• log x + 5 log y

• 5 log x + 5 log y

• 5 log x - log y

• log x - 5 log y

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Condense

• log₈(x⁶)/log₈(y³)

• log₈(x⁶/y³)

• log₈(x/y³)

• log₈(x⁶y³)

Expand

• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v

Solve

• 5

• 13

• 84

• -20

Expand

• 6log₄u - 36log₄v

• log₄u - 6log₄v

• 6log₄u + 36log₄v

• 6log₄u / 36log₄v

Condense to a single logarithm.

• ln x⁴/ y

• ln xy⁴

• ln x/ y⁴

• ln x⁴/ y⁴

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Ms. Jones isn't sure if she solved this logarithmic equation correctly. Check her work to determine if she made any mistakes. If she did make a mistake, determine what it was.

• She did not convert to exponential form correctly.

• She did not distribute the 4 when combining the logs.

• She should have subtracted 2 from both sides instead of adding 2.

• No mistakes were made!