Given log18 (9) = a, 18 ^ B = 5, use a, B to represent log36 (5)=______

Log (base on 18) 9 = a from the bottom changing formula lg9 / LG18 = a2lg3 / (2lg3 + LG2) = a2lg3 = 2alg3 + alg2 (2-2a) Lg3 = alg2lg3 = alg2 / (2-2a) 18 ^ B = 5log (base on 18) 5 = B from the bottom changing formula lg5 / LG18 = blg5 / (2lg3 + LG2) = blg5 = 2blg3 + blg2 because Lg3 = alg2 / (2-2a), so lg5 = blg2

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