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If loga3 = m and loga5 = p, find \(log...

If loga3 = m and loga5 = p, find loga75

A.

m2+p

B.

2m + p

C.

m + 2p

D.

m+p2

Correct answer is C

Given: loga3 = m and loga5 = p
loga75 = loga(3×25)
= loga(3×52)
= loga3+loga52
loga3+2loga5
Since loga3 = m and loga5 = p
loga75 = m + 2p