SOLUTION: solve: ln(2x-1)=8

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Question 252336: solve: ln(2x-1)=8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln%282x-1%29=8 Start with the given equation.


Recall that the equation ln%28x%29=y can be rewritten as x=e%5Ey


2x-1=e%5E8 Use the property shown above to convert the equation into exponential form.


2x=e%5E8%2B1 Add 1 to both sides.


x=%28e%5E8%2B1%29%2F2 Divide both sides by 2.


So the exact solution is x=%28e%5E8%2B1%29%2F2 which approximates to x=1490.97899352506