How do you use the Change of Base Formula and a calculator to evaluate the logarithm ${log}_{5} 44$ $log_5 44$ ?

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Answer 1 · 2018-05-23T00:56:38

$\approx 2.35$ $~~2.35$

${log}_{b} (x) = \frac{{log}_{n} (x)}{{log}_{n} (b)}$ $log_b(x) = (log_n(x))/(log_n(b))$

often when using the formula we use ${log}_{e} (x)$ $log_e(x)$ or $ln (x)$ $ln(x)$ :

${log}_{5} 44 = \frac{ln 44}{ln 5} \approx 2.35$ $log_5 44 = ln44/ln5~~2.35$

How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 44log544log_5 44?