Expand Logarithm Review

Answer explanation

Rewrite the cube root as t^1/3 first.  Then, use the power property of logs.

Answer explanation

The square root is the 1/2 power.

Expand the expression using the properties of logarithms.

Answer explanation

Power prop first, then quotient prop.

Expand the expression using the properties of logarithms.

Answer explanation

$Use\ the\ power\ property\ twice,\ and\ quotient\ property$

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Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

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