Problem 139 of 7
Explain why logarithm base restrictions are needed for b>0.
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state base positive and not 1.
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State base positive and not equal to 1.
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Solution
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1. Connect logarithms to inverse exponential functions.
2. Explain why invalid bases break real-valued or one-to-one behavior.
3. State the allowed base and argument conditions.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying restrictions are arbitrary rules.