Question

Find x. 10^log x = 1/1000

Answer 1

To solve the equation \( 10^{\log x} = \frac{1}{1000} \), we can simplify the right side of the equation.

First, we know that:

\[
\frac{1}{1000} = 10^{-3}
\]

So, we can rewrite the equation as:

\[
10^{\log x} = 10^{-3}
\]

Since the bases (10) are the same, we can set the exponents equal to each other:

\[
\log x = -3
\]

To solve for \( x \), we convert from logarithmic form to exponential form:

\[
x = 10^{-3}
\]

Calculating \( 10^{-3} \):

\[
x = \frac{1}{1000}
\]

Thus, the solution is:

\[
\boxed{\frac{1}{1000}}
\]