I cannot solve the following equation to x.
I tried it like this:
after some squaring and multiplying I got the following:
Then I didn't know how to continue. Wolfram Alpha says that x is 2/3: http://www.wolframalpha.com/input/?i=2-3x+%3D+%28lg%28243%29%2F%28lg%2827%29%29%29^2*%283 x-2%29
My textbook, from where I have this equation, also says x = 2/3. But I don't know how to get there. I hope that someone can post the last steps to solve to x.