Laws of Logarithms

Laws of Logarithms:
1. log
a(u v) = loga(u) + loga(v) {The log of a product equals the sum of the logs.}
2. log
a(u/v) = loga(u) - loga(v) {The log of a quotient equals the difference of the logs.}
3. log
a(ur ) = r loga (u)

Show work. In order to apply the laws of logarithms, one needs to rewrite the radical using fractional exponents. Rewrite the fifth root using fractional exponents

 

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