That would be correct, if the original equation had been .I have taken logs on both sides, used the power rule to get
xln3 + x ln5 = ln12
That's correct, provided, as I wrote above, the original equation really was .factored out x on the LHS to give x(ln3 + ln5) = ln12
x(ln15) = ln12
divided through by ln15
x = (ln12)/(ln15)
Either you have gone wrong in the very first step when you assumed that , or you have gone wrong in believing that the solution that you have found is not correct (or, rather, that it is "not what you want").The answer I get doesnt match what I want. Where have I gone wrong please?