How do you solve $log(1/x)=7.761$ ?

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Answer 1 · 2016-01-02T10:11:09

By simply solving with the exponential form.

$x=0.12885$

$log(1/x)=7.761$

Supposing that the base is 10:

$log(1/x)=log10^7.761$

Since $log$ is a 1-1 function for $x>0$ and $x!=1$ the $log$ can be cancelled out:

$1/x=10^7.761$

$x=1/10^7.761=10^-7.761=0.12885$

How do you solve log(1/x)=7.761log(1/x)=7.761?