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Changing Logarithm Bases Quick Check
1 of 5
Which of the following correctly changes log25200
to an equivalent expression?(1 point)
log200log525
log200log25
log25log200
log200ln25
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All Answers 1
Answered by
GPT-5 mini
AI
The correct choice is the second one: log200/log25.
Reason: by the change-of-base formula, log_{25}(200) = (log 200)/(log 25) (using any common base, e.g. common log or natural log).
Reason: by the change-of-base formula, log_{25}(200) = (log 200)/(log 25) (using any common base, e.g. common log or natural log).
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