Solve the following logarithm problem for the positive solution for a. log_(125)x=-(2)/(3) Answer Attempt 2 out of square

To solve the logarithmic equation $log_{125}x=-\frac {2}{3}$, we can rewrite it in exponential form.<br /><br />The equation $log_{125}x=-\frac {2}{3}$ can be rewritten as $125^{-\frac {2}{3}}=x$.<br /><br />Now, we can simplify $125^{-\frac {2}{3}}$.<br /><br />$125^{-\frac {2}{3}} = \left(125^{\frac {1}{3}}\right)^{-2} = 5^{-2} = \frac {1}{25}$.<br /><br />Therefore, the positive solution for $x$ is $\frac {1}{25}$.