How do you find the inverse of $log (x) = 3$ $log(x)=3$ ?

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Answer 1 · 2016-11-18T04:48:42

Please see the explanation.

I am assuming that the logarithm is base 10:

${log}_{10} (x) = 3$ $log_10(x) = 3$

Make both sides of the equation an exponent of 10:

$10^{{log}_{10} (x)} = 10^{3}$ $10^(log_10(x)) = 10^3$

Use the property of logarithms, $b^{{log}_{b} (x)} = x$ $b^(log_b(x)) = x$ :

$x = 10^{3}$ $x = 10^3$

$x = 1000$ $x = 1000$

How do you find the inverse of log(x)=3log(x)=3?