# SOLUTION: I am having difficulty on the steps to solve this equation: e^-x = (e^4)^x+3 Any help would be greatly appreciated!

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: I am having difficulty on the steps to solve this equation: e^-x = (e^4)^x+3 Any help would be greatly appreciated!      Log On

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 267905: I am having difficulty on the steps to solve this equation: e^-x = (e^4)^x+3 Any help would be greatly appreciated!Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!Assume the problem is: = : Use the nat logs = : use the log equiv of exponents = : we know the ln of e = 1, and ln(e^4) = 4, therefore it is greatly simplified = -x = 4(x+3) -x = 4x + 12 -12 = 4x + x -12 = 5x x = : : Check this on your calc enter e^(-(-12/5)) = 11.023 enter (e^4)^((-12/5)+3)= 11.023, equality reigns