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podryga [215]
3 years ago
11

Find a such that

1" title=" log_{3}(x) = alog_{5}(x) " alt=" log_{3}(x) = alog_{5}(x) " align="absmiddle" class="latex-formula">
for all values of x > 0 .​
Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Recall the change-of-base formula:

\log_5x=\dfrac{\log_3x}{\log_35}

(you can insert any logarithm on the right side)

It follows that a=\log_35.

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