SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. ln (2x + 3) = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. ln (2x + 3) = 2      Log On


   

Question 285746: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln (2x + 3) = 2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
ln (2x + 3) = 2
Your equation is in the form
log(expression) = other-expression
With an equation of this form, with the variable in the argument of a logarithm, you rewrite the equation in exponential form and solve that equation:
2x%2B3+=+e%5E2
Now we solve for x:
2x+=+e%5E2+-+3
x+=+%28e%5E2+-+3%29%2F2
This is the exact solution. For a decimal approximation, use your calculator on the right side. (If you don't know how to get "e" on your calculator, then use 2.7182818284590451 for "e".)