Problem 78 of 7
Solve exponential equation 10^(2x)=30 by converting to logarithmic form.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
isolate exponent and write log solution.
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Isolate exponent and write log solution for arbitrary bases.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Isolate the exponential expression if needed.
2. Convert to logarithmic form.
3. Solve any remaining linear equation involving the exponent.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using common log without dividing by log of the base unless written as change-of-base.