Question

HELP ME PLZZZ ITS PRECALC

Answer 1

Answer:

  8

Step-by-step 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 ...

  $p=\sqrt{125}\\q=\sqrt{8}$

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.