SOLUTION: I have tried so many times to solve this equation but Im stuck: 4*3^x=6*5^x the furthest I gotten is: (4)x log(3)= (6) x log (5) but I don't know where to go from here

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I have tried so many times to solve this equation but Im stuck: 4*3^x=6*5^x the furthest I gotten is: (4)x log(3)= (6) x log (5) but I don't know where to go from here      Log On


   



Question 898460: I have tried so many times to solve this equation but Im stuck:
4*3^x=6*5^x
the furthest I gotten is: (4)x log(3)= (6) x log (5) but I don't know where to go from here

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4*3^x=6*5^x
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Don't use x for multiply, it's already in use.
Use * (Shift 8)
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4*3^x=6*5^x
log(4) + x*log(3) = log(6) + x*log(5)
x*(log(3) - log(5)) = log(6) - log(4)
x*log(3/5) = log(3/2)
x+=+log%283%2F2%29%2Flog%283%2F5%29
x = log(1.5)/log(0.6)