How do you solve 5\ln ( 5x + 1) - 17= - 27?

1 Answer
Oct 19, 2017

x = 1/(5e^2) - 1/5

Explanation:

5 ln (5x + 1) - 17 = -27

5 ln(5x+1) = -10

ln(5x+1) = -10/5

ln(5x+1) = -2

To eliminate ln from the equation, we can use the property e^(ln x) = x.

e^(ln(5x+1)) = e^(-2)

5x + 1 = e^(-2)

5x = e^(-2) - 1

x = (e^(-2) - 1)/5

x = e^(-2)/5 - 1/5

x = 1/(5e^2) - 1/5