How do you calculate ${log}_{7} 10$ $log_7 10$ ?

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Answer 1 · 2016-09-14T08:07:43

${log}_{7} 10 = 1.1833$ $log_7 10=1.1833$

Let ${log}_{7} 10 = x$ $log_7 10=x$

Then $10 = 7^{x}$ $10=7^x$ and $log 10 = {log 7}^{x} = x log 7$ $log10=log7^x=xlog7$

and $x = \frac{log 10}{log 7} = \frac{1}{0.8451} = 1.1833$ $x=log10/log7=1/0.8451=1.1833$ or

${log}_{7} 10 = 1.1833$ $log_7 10=1.1833$

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