SOLUTION: solve for x 10^x-1 = e^x+1 the raised expression is x-1 for 10 the raised expression is x+1 for e

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve for x 10^x-1 = e^x+1 the raised expression is x-1 for 10 the raised expression is x+1 for e      Log On


   

Question 436572: solve for x
10^x-1 = e^x+1
the raised expression is x-1 for 10
the raised expression is x+1 for e
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x
10^x-1 = e^x+1
----------------
Using common logs, base 10:
(x-1)*log(10) = (x+1)*log(e)
x - 1 = (x+1)*log(e) = x*log(e) + log(e)
x - x*log(e) = log(e) + 1
x(1 - log(e)) = log(e) + 1
x = (log(e) + 1)/(1 - log(e))
x =~ 2.5354