kwabena41 kwabena41

01-10-2019
Mathematics

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Find a such that
[tex] log_{3}(x) = alog_{5}(x) [/tex]
for all values of x > 0 .

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LammettHash LammettHash

01-10-2019

Recall the change-of-base formula:

[tex]\log_5x=\dfrac{\log_3x}{\log_35}[/tex]

(you can insert any logarithm on the right side)

It follows that [tex]a=\log_35[/tex].

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