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

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) (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:

Now we solve for x:

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".)
RELATED QUESTIONS
Solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by edjones)

Solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by edjones)

Solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by Fombitz)

Please help I am really confused and could use a step by step break down. Solve. Where... (answered by ankor@dixie-net.com)

solve. where appropriate, include approximations to the nearest thousandth. if no... (answered by solver91311)

Solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by Fombitz)

solve. where appropriate, include approximations to the nearest thousandth. if no... (answered by Alan3354)

Solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by CharlesG2)

please solve. Where appropriate, include approximations to the nearest thousandth. If no... (answered by Fombitz)