1 Answer

Keneshia · Answer 1 · 2020-06-09T21:36:16+0000

Answer:

8

Explanation:

We observe that the logarithm bases are ...

5√5 = √125 . . . . . 125 is the 2nd power of this

2√2 = √8 . . . . . . . 8 is the 2nd power of this; 64 is the 4th power of √8

If we define ...

$p=√(125)\\q=√(8)$

Then our logarithms are ...

$log_p(p^2)=x=2\\\\log_q(q^4)=y=4\\\\xy=2\cdot 4=8$

The product of x and y is 8.

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