Final answer to the problem
$m=\log_{2}\left(\frac{\sqrt[3]{2}}{8}\right)$
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Apply the formula: $a=b$$\to b=a$, where $a=\frac{\sqrt[3]{2}}{8}$ and $b=2^m$
$2^m=\frac{\sqrt[3]{2}}{8}$
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$2^m=\frac{\sqrt[3]{2}}{8}$
Learn how to solve problems step by step online. Solve the equation with radicals (2^(1/3))/8=2^m. Apply the formula: a=b\to b=a, where a=\frac{\sqrt[3]{2}}{8} and b=2^m. Apply the formula: a^x=b\to \log_{a}\left(a^x\right)=\log_{a}\left(b\right), where a=2, b=\frac{\sqrt[3]{2}}{8} and x=m. Apply the formula: \log_{b}\left(b^a\right)=a, where a=m and b=2.
Final answer to the problem
$m=\log_{2}\left(\frac{\sqrt[3]{2}}{8}\right)$
Exact Numeric Answer
$m=-2.6666667$
