Prove that:

log base 16 (XY) = 1/2 log base 4 (X) + 1/2 log base 4 (Y)

Include the logarithmic rules used to prove the statement.

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RajniAptitudeArithmeticContest
Prove that: log base 16 (XY) = 1/2 log base 4 (X) + 1/2 log base 4 (Y) Include the logarithmic rules used to prove the statement.