Problem 117 of 7
Determine whether logarithm-law rewrite log(x-y) = log(x)-log(y) is valid.
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reject false laws such as log of sum.
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Reject false laws such as log of a sum.
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Solution
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1. Identify the log law being claimed.
2. Check whether the operation inside the log is product, quotient, or power.
3. State valid domain conditions or explain why the law is false.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Algebraic rewrites that ignore positivity restrictions.