Problem 39 of 7
Prove the power law for logarithms for expression log_b(M^(2/3)).
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use exponent power rule.
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Use exponent power rule for integer and rational exponents.
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Solution
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1. Let log_b(M) equal an exponent.
2. Rewrite M as a power of b.
3. Raise that power to the given exponent.
4. Convert back to log form with coefficient.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Moving coefficients that are not exponents.