If A = log_(5)2 and B= log_(5) 3, write each logarithm in terms of A and B. log_(5) 36

asked Aug 17, 2020 67.0k views

5 votes

and

, write each logarithm in terms of A and B.

log_(5) 36

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4 votes

Answer:

2A+2B

Explanation:

$log_(5) 36=log_(5)(4*9)=log_(5)(2^(2)*3^(2))\\log_(5)(2^(2))+log_(5)(3^(2))=2log_(5)2+2log_(5)3=2A+2B$

HelloGoodbye answered Aug 24, 2020

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