SOLUTION: 5^(x-1)=3^x Find x I tried to solve using log and i couldn't find x. Can anybody help on this? Thank you~!

Question 193270: 5^(x-1)=3^x Find x I tried to solve using log and i couldn't find x. Can anybody help on this? Thank you~!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take the log of both sides

Pull down the exponents

Distribute

Subtract from both sides.

Factor out the GCF "x" on the right side

Combine the logs on the right side using the identity

Divide both sides by .

Evaluate the right side (using a calculator). Note: the value of "x" is now approximate

Rearrange the equation

So the solution is approximately
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