# If (x, 1/100) lies on the graph of y = 10^x, then what is x?

Apr 11, 2016

$x = - 2$

#### Explanation:

As $\left(x , \frac{1}{100}\right)$ lies on $y = {10}^{x}$, then

$\frac{1}{100} = {10}^{x}$.

But as $\frac{1}{100} = {10}^{- 2}$

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

or $x = - 2$