SOLUTION: 2lnx=5

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Question 403107: 2lnx=5
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First we'll isolate the logarithm by dividin both sides by 2:
ln(x)=5/2
or
ln(x) = 2.5
Now we'll rewrite the equation in exponential form. In general log%28a%2C+%28p%29%29+=+q is equivalent to p+=+a%5Eq. Using this pattern on your equation, keeping in mind that the base of ln is e, we get:
x+=+e%5E2.5
This is an exact expression for the solution. If you need a decimal approximation then you'll need your calculator. Just enter e^2.5. If your calculator does not have a button for e, then enter 2.7182818284590451^2.5.