Question

solve for x. $log_{10} x = -2$ simplify your answer as much as possible. $x = \square$

Explanation:

Step1: Convert log to exponential form

Recall that $\log_b a = c$ is equivalent to $b^c = a$. For $\log_{10} x = -2$, we get:
$$10^{-2} = x$$

Step2: Simplify the exponential term

A negative exponent means reciprocal:
$$x = \frac{1}{10^2} = \frac{1}{100}$$

Answer:

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