Problem 164 of 7
Choose an appropriate log method for exponential equation 3^x=20.
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common base vs logarithm vs technology.
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Select common base, logarithm, or technology method.
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Solution
Walkthrough
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1. Check whether both sides are simple powers of the same base.
2. If not, isolate the exponential expression.
3. Choose ln/log/change-of-base based on base and context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Forcing common bases when no simple common base exists.