Use the definition of logarithms to translate among logarithms in any base.
Rewrite a logarithm in a calculator-friendly base using change of base
Problem
How would you evaluate \(\log_6(14)\) using change of base?
Big Picture
What this problem is really about
Change of base keeps the logarithm’s argument in the numerator and its original base in the denominator, using the same calculator logarithm above and below. Check that order against neighboring powers of the original base; the quotient should fall between their exponents.
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