Problem 15 of 7
Prove the product law for logarithms in base arguments as powers of base.
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convert logs to exponents and multiply powers.
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Convert logs to exponents and multiply powers.
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Solution
Walkthrough
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1. Let each logarithm equal an exponent.
2. Rewrite as exponential statements.
3. Multiply the powers and use exponent rules.
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.
Examples alone when a general proof is requested.