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)

Find the exact value of 5 ln e3 without using a calculator.

5 ln e3 Show work. Use the fact that y = ln x and y = ex are inverse functions.{i.e. ln e x = x}

 

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