# How do you solve Log_10 x = -2?

$x = \frac{1}{100} = 0.01$

#### Explanation:

This is the logarithmic form:
${\log}_{10} x = - 2$

Convert this to exponential form:

${10}^{-} 2 = x$

$x = \frac{1}{10} ^ 2$

$x = \frac{1}{100}$

$x = 0.01$

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