The original equation is= 100. The domain is { x | x > 0 }. The equation is equivalent to = 100. Square both sides. You will get = 10000. Take logarithm base 10 from both sides. You will get log(x) * log(x) = log(10000), or (log(x))^2 = log(10000), or (log(x))^2 = 4. Take square root from both sides. You will get log(x) = +/- 2. So we have two solutions 1) log(x) = 2, x = = 100, and 2) log((x) = -2, x = = . ANSWER. The original equation has two solutions, x = 100 and x = .