You can put this solution on YOUR website! We will apply logarithms to this...
Taking the log of both sides, we get
log 2 + (2x-3)log 3 = (1-2x)log 5
Now multiply things out and collect like terms and get
log 2 + 2xlog 3 - 3log 3 = log 5 - 2xlog5
2xlog 3 + 2xlog 5 = log 5 + 3log 3 - log 2
2x(log 3 + log 5) = log 5 + 3log 3 - log 2
Now solve for x and get
x = (log 5 + 3log 3 - log 2) / 2(log 3 + log 5)
You can get the numerical value on a calculator...
