solve e^x / 3 = 5^x using logs.
e^x / 3 = 5^x
take logs to base e:
x-log(3) = xlog(5)
group terms to get
x(log(5)-1)=-log(3)
x = -log(3)/(log(5)-1)
take logs to base e:
x-log(3) = xlog(5)
group terms to get
x(log(5)-1)=-log(3)
x = -log(3)/(log(5)-1)