1. The problem statement, all variables and given/known data Prove: 1/log3a + 1/log4a = 1/log12a 2. Relevant equations ay=x Logarithms rules (addition, subtraction, power, etc.) logax=logbx/logba 3. The attempt at a solution Left Side: 1/log3a + 1/log4a =log3a+log4a/log12a (via common denominator) The problem is how to add logarithms with different bases. I tried converting the log3a to log4a (I get log4a/log43). After that, I subbed it back into the equation. =log4a/log43+log4a But I don't think that gets me anywhere... Right side still remains the same (1/log12a) Any help is appreciated! Thanks in advance :). P.S. What program do people use to make their equations look so neat (the fraction looks real - ex. 1/4 really looks like 1 (horizontal line) 4)?