Problem 135 of 7
Use log laws to solve logarithmic equation log(x+5) = 2.
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condense logs and convert to exponential form.
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Condense logs and convert to exponential form for product/quotient structures.
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Walkthrough
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1. Record domain restrictions.
2. Condense logs using valid laws.
3. Convert to exponential or compare equal logs.
4. Solve and check each candidate in the original equation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Extraneous roots that make any log argument nonpositive.