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Mathematics 14 Online
OpenStudy (anonymous):

help with logs please

OpenStudy (anonymous):

\[3^{\log_{3}5 }\] and\[ \log_{5} \sqrt{625}\]

OpenStudy (dominusscholae):

For the first, since \[3^{x}\] and \[\log_{3} x\] are inverses \[3^{\log_{3} x}\] will yield x. Since x=5 in this case, the first answer is 5. For the second, 625= \[5^4\] so the square root of that will be \[5^2\] or 25

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