Solve for x. 9^x - 3^x = 12. Express answer as a single logarithm.?

Some general rules: a·log(b) = log(bª) log(a) + log(b) = log(ab) log?(xª) = a 2+3log?(x) = 2+log?(x³) log?(3²) + log?(x³) log?(9) + log?(x³) log?(9x³).

2 = log3(3^2) = log3(9) Also 3 log3(x) = log3(x^3) , because be log(a) = log(a^b) So 2 + 3 log3(x) = log3(9) + log3(x^3) = log3( 9x^3) , because log(a) + log(b) = log(ab).

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