How do you use the Change of Base Formula and a calculator to evaluate the logarithm ${log}_{4} 27$ $log_4 27$ ?

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Answer 1 · 2018-07-11T09:09:25

${log}_{4} 27 = \frac{{log}_{10} 27}{{log}_{10} 4} = 2.38$ $log_4 27=log_10 27/log_10 4=2.38$

${log}_{a} b = \frac{{log}_{10} b}{{log}_{10} a}$ $log_a b=log_10b/log_10 a$

${log}_{4} 27 = \frac{{log}_{10} 27}{{log}_{10} 4} = 2.38$ $log_4 27=log_10 27/log_10 4=2.38$

How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_4 27log427log_4 27?