# How do you write y = 10^x in log form?

Jul 18, 2015

$\log y = 1$

#### Explanation:

$y = {10}^{x}$

Take log to base 10 of both sides $\Rightarrow$

$\log y = \log \left({10}^{x}\right)$

$\log y = x \log 10$

The log of a number to base 10 is the power to which you must raise 10 to equal that number.

So $\log 10 = 1$ because ${10}^{1} = 1$

So $\log y = 1$