Chapter 4.5, Problem 39E

w

To determine

Solve the logarithmic equation for $x$ .

Answer to Problem 39E

  $\boxed{x=0.01}$

Explanation of Solution

Given information:

Solve the logarithmic equation for $x$ .

  $\log x=-2$

Calculation:

Consider the given equation,

  $\log x=-2$

  $\begin{array}{l}{\log }_{10}x=-2\\ x={10}^{-2}\\ x=\frac{1}{100}\\ x=0.01\end{array}$

Hence, the solution is, $\boxed{x=0.01}$