Final answer to the problem
$x=2$
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Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation logx(1/8)=-3. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. Take the reciprocal of both sides of the equation. Apply fraction cross-multiplication. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=-3 and b=10.
Final answer to the problem
$x=2$
