If A = log_(5)2 and B= log_(5) 3, write each logarithm in terms of A and B. log_(5) 8√(3)

asked Oct 11, 2020 153k views

1 vote

and

, write each logarithm in terms of A and B.

log_(5) 8√(3)

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6 votes

Answer:

$A=2^{(1)/(5) }$

$B=3^{(1)/(5)}$

Explanation:

∵
A=log_(5)2

∴
A^(5)=2

∴
$A=2^{(1)/(5)}$

∵
B=log_(5)3

∴
B^(5)=3

∴
$B=3^{(1)/(5)}$

Naama Katiee answered Oct 17, 2020

6.0k points

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