How do you calculate ${log}_{4} 43$ $log_4 43$ with a calculator?

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Answer 1 · 2016-11-17T23:46:12

$\frac{ln (43)}{ln (4)}$ $ln(43)/ln(4)$

If your calculator doesn't have the ${log}_{4}$ $log_4$ function, you should know that the definition of ${log}_{n} (x)$ $log_n(x)$ is:

${log}_{n} (x) = \frac{ln (x)}{ln (n)}$ $log_color(red)(n)(color(blue)(x))=ln(color(blue)(x))/ln(color(red)(n))$

note : ${log}_{10}$ $log_10$ is often written just $log$ $log$

How do you calculate log443log_4 43 with a calculator?