Question

.If log_(10)^(2)=x log_(10)^(3)=y. Then find log_(10)^(72) in terms of x and y.​

Answer 1

72= 2^3 x 3^2
Take log on both sides
Thus, log72 = 3log2 + 2log3. [ logab = loga + logb] [loga^n = nloga]
= 3x + 2y