Question

Math:

q1. find an expression for n in terms of x and y.

${3}^{n} = \frac{3x}{9y}$
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Answer 1

Taking log on both sides

$n log(3) = log(3x) - log(9y) \\ n log(3) = log(3) + log(x) - 2 log(3) - log(y) \\ n + 1 = \frac{ log(x) - log(y) }{ log(3) } \\ n = \frac{ log(x) - log(y) }{ log(3) } - 1$