Problem 186 of 7
Explain why logarithms solve exponential equation e^{ax} = B.
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connect log as inverse of exponentiation.
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Connect log as inverse of exponentiation in conceptual prompts.
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Solution
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1. Identify the unknown as an exponent.
2. Name logarithm as the inverse of exponentiation.
3. Explain how applying log makes the exponent accessible.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying logs are used only because calculators have a log button.