How do you calculate ${log}_{8} 7.9$ $log_8 7.9$ with a calculator?

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Answer 1 · 2016-09-06T09:31:25

${log}_{8} 7.9 = 0.9939$ $log_8 7.9=0.9939$

Let ${log}_{b} a = x$ $log_ba=x$ . Hence $b^{x} = a$ $b^x=a$ and log (to the base $10$ $10$ ) on both sides, we get

$x log b = log a$ $xlogb=loga$ or $x = \frac{log a}{log b}$ $x=loga/logb$

Hence ${log}_{b} a = \frac{log a}{log b}$ $log_ba=loga/logb$ and

${log}_{8} 7.9 = \frac{log 7.9}{log 8}$ $log_8 7.9=log7.9/log8$

= $\frac{0.8976}{0.9031}$ $0.8976/0.9031$

= $0.9939$ $0.9939$

How do you calculate log_8 7.9log87.9log_8 7.9 with a calculator?