Confused how to solve this equation:

6 ln(x+2) - 3 = 21

Printable View

- Mar 15th 2013, 08:35 AMpaigesiscoExponential & Logarithmic Equations
Confused how to solve this equation:

6 ln(x+2) - 3 = 21 - Mar 15th 2013, 08:38 AMPlatoRe: Exponential & Logarithmic Equations
- Mar 16th 2013, 10:02 AMReneGRe: Exponential & Logarithmic Equations
First, you want to isolate the natural logarithm on one side.

$\displaystyle 6 ln(x+2) - 3 = 21 $

Add 3 to both sides of the equations $\displaystyle 6 ln(x + 2) = 24$ Divide both sides by 6 $\displaystyle ln(x + 2) = 4$ Rewrite the equation in exponential form $\displaystyle e^4 = x + 2$ Subtract 2 from both sides to solve for x. $\displaystyle x = e^4 - 2$

Hope you understood, goodluck!