1. The problem statement, all variables and given/known data I'm trying to solve trying logarithmic and exponential equations but for the life of me I can't seem to figure out what I'm doing wrong. 2. Relevant equations Log equation: log3(x+2)+1 = log3x²+4x Exp equation: 2x + 2x+1 = 3 3. The attempt at a solution For the first one, here's what I did: 1 = log3(x²+4x) - log3(x+2) log3((x²+4x)/(x+2)) = 1 log3((x² +4x)/(x+2)) = 1 log3((x+4x)/2) = 1 --Can I do this? Dividing the denominator and numerator by the same value within a log log3(x+2x) = 1 log3(3x) = 1 log33 + log3x = 1 1 + log3x = 1 log3x = 0 x = 1 And then for the second one: 2x + 2x+1 = 3 I figured I'd put them all on the same base so I tried to find 2 to what power equals 3 So I did ln(3)/ln(2) = 1.584962501, which for simplicity's sake I'll replace by y here And when I put in 2y in my calculator it does give me 3 so it must be correct x + x + 1 = y 2x + 1 = y x = (y-1)/2 But when I put the result back in the original equations, none of the answers I found seem to be correct. I'm at my wit's end here, I don't know what else to try. Any help is greatly appreciated.