Solve for x 10^x=1/100

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

Step 1

Raise $100$ to the power of $1$ .

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

Step 2

Move $100^{1}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$10^{x} = 100^{- 1}$

Step 3

Create equivalent expressions in the equation that all have equal bases.

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

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = - 2$