The real numbers and satisfy and then the value of is

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The real numbers

x

and

y

satisfy

\log_8 x + \log_4(y^2) = 5

and

\log_8 y + \log_4(x^2) = 7

then the value of

xy

is (a) 1024 (b) 512 (c) 256 (d) 81