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5 votes
5 votes
Write log_4 10 as a quotient of natural logarithms.ln__ln__

User Amit Dhall
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1 Answer

9 votes
9 votes

We have to use the change-of-base formula of logarithms to simply write this log.

The logarithm to convert is:


\log _410

The change of base formula (using natural logarithms) is:


\log _ab=(\ln b)/(\ln a)

Matching this with the logarithm, we can write it as:


\log _410=(\ln 10)/(\ln 4)

User Pfx
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