Solve the following logarithm problem for the positive solution for r. log_(8)x=-3 Answer Attemptiout of 3 square

To solve the logarithmic equation $log_{8}x=-3$, we need to rewrite the equation in exponential form.<br /><br />The general form of a logarithmic equation is $log_{b}x=y$, where $b$ is the base, $x$ is the argument, and $y$ is the exponent.<br /><br />In this case, the base is 8, the argument is $x$, and the exponent is -3.<br /><br />So, we can rewrite the equation as $8^{-3}=x$.<br /><br />Now, we can simplify the expression $8^{-3}$.<br /><br />$8^{-3}=\^3}=\frac{1}{512}$<br /><br />Therefore, the positive solution for $x$ is $\frac{1}{512}$.