SOLUTION: lnx-ln(1/3)=1

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Question 296580: lnx-ln(1/3)=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x%29-ln%281%2F3%29=1 Start with the given equation.


ln%28x%2F%281%2F3%29%29=1 Combine the logs using the identity ln%28x%29-ln%28y%29=ln%28x%2Fy%29


ln%283x%29=1 Multiply 'x' by the reciprocal of the fraction 1%2F3.


3x=e%5E1 Use the property ln%28x%29=y ---> x=e%5Ey


3x=e Simplify


x=e%2F3 Divide both sides by 3


So the solution is x=e%2F3