Use logarithm properties to simplify numeric logarithmic expressions and estimate values.
Simplify a difference of logarithms using the quotient law
Problem
What is a simplified form of \(\log_3(81)-\log_3(3)\) using the quotient law of logarithms?
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What this problem is really about
A difference of logarithms with the same base packages the first argument divided by the second into one logarithm. Keep their order intact, simplify that quotient, and then ask which power of the unchanged base produces it. Evaluating the two original logarithms separately is a useful check.
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