SOLUTION: 1. Solve for the variable ln ( e^x / e^2x+1 )= -x-1

Algebra.Com
Question 88495: 1. Solve for the variable
ln ( e^x / e^2x+1 )= -x-1

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
ln ( e^x / e^2x+1 )= -x-1
:
Which is:
ln(e^x) - ln(e^(2x+1)) = -x - 1
:
x*ln(e) - (2x+1)*ln(e) = -x - 1; log equivalent of exponents
:
x*1 - (2x+1)*1 = -x - 1; remember that ln(e) = 1
:
x - 2x - 1 = -x - 1
:
-x - 1 = -x - 1
:
This indicates that x can be any value

RELATED QUESTIONS

Solve for X...... (answered by Alan3354)
solve for x... (answered by ankor@dixie-net.com)
ln x + ln (x+1-e) =... (answered by stanbon)
Solve for x: e^2x + 4e^-2x = 4. X= a. (1/2) ln 2 b. (1/3) ln 2 c. (1/3) ln 3 d.... (answered by stanbon,venugopalramana)
Solve for x: a) ln(2x+1)=4 b)... (answered by addingup,MathTherapy)
Solve the equations by finding the exact solution. (a). 1 = x-1 x = 2 (?) (b).... (answered by Tatiana_Stebko)
Solve the logarithmic or exponential equation. 1.(525)/(1+e^-x)=275 2.ln(x +1) − (answered by solver91311)
1.Solve the following equations: (i) ln x + ln(x + 4) = ln(x + 6) (ii) 7^x+3 =... (answered by Alan3354)
1.Solve the following equations: (i) ln x + ln(x + 4) = ln(x + 6) (ii) 7^x+3 = e^x (answered by Alan3354)