Problem 30 of 7
Prove the quotient law for logarithms in base the property name for division.
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convert logs to exponents and divide powers.
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Convert logs to exponents and divide powers.
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Solution
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1. Let logs equal exponents.
2. Rewrite the quantities as powers of the base.
3. Divide the powers and subtract exponents.
4. Convert back to logarithmic form.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Treating log(M/N) as log(M)/log(N).