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Need help with the question in the attachment!

Need help with the question in the attachment!-example-1

1 Answer

5 votes

Answer:

The product of x and y is 8
8

Explanation:

If
\log_(5√(5))125=x, then the exponential form is:


125=(5√(5))^x


\implies 5^3=(5)^{(3x)/(2)}


\implies 3=(3x)/(2)


\implies 6=3x


\implies x=(6)/(3)=2

Also if,
\log_(2√(2))64=y, then the exponential form is:


64=(2√(2))^y


\implies 2^6=(2)^{(3y)/(2)}


\implies 6=(3y)/(2)


\implies 12=3y


\implies y=4

The product of x and y is
xy=2* 4=8

User RonTLV
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