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

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


log_(5) 36

User Chuck Rostance
by
8.3k points

1 Answer

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

User HelloGoodbye
by
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