Question

HELP ME PLZZZ ITS PRECALC

Answer 1

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.