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Logarithms question?
Prove that logbase2(6)+logbase3(6) = logbase2(6)*logbase3(6)
1 Answer
- MangalLv 46 years agoFavorite Answer
lhs = logbase2(6) + logbase3(6)
= logbase2(3) logbase3(6) + logbase3(6) .. .. .. // logbaseA(B) = logbaseA(C) logbaseC(B)
= [logbase2(3) + 1] logbase3(6)
= [logbase2(3) + logbase2(2)] logbase3(6) .. .. .. // logbaseX(X) = 1
= logbase2(3x2) logbase3(6) .. .. .. // logbaseY(A) + logbaseY(B) = logbaseY(AxB)
= logbase2(6)logbase3(6)
= rhs