SOLUTION: Find the exact solution and decimal solution: e^2x+2e^x-48=0

Question 879104: Find the exact solution and decimal solution:
e^2x+2e^x-48=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact solution and decimal solution:
e^2x+2e^x-48=0
***
let u=e^x
u^2=e^2x
..
u^2+2u-48=0
(u+8)(u-6)=0
u=-8
or
u=6
..
for u=-8=e^x
no solution (e^x>0)
..
for u=6=e^x
xlne=ln6
x≈1.79
RELATED QUESTIONS
Find the exact solution(s) to the equation... (answered by drk)

What is the exact value of x?... (answered by josgarithmetic)

Find the exact solution of... (answered by jim_thompson5910)

What is the solution to the following systems of equations? {{{y=2e^(2x)}}} {{{y=e^x... (answered by josmiceli)

(e^2x)-(2e^x)-15=0 (answered by lwsshak3)

e^(2x)-2e^x+1 =0... (answered by lwsshak3)

solve: {{{e^(2x) - 2e^x... (answered by nerdybill)

Find the exact solution and the decimal solution:... (answered by josgarithmetic)

what is the exact and approximate solution to three decimal places... (answered by Alan3354)