How do you solve #5\ln ( 5x + 1) - 17= - 27#?
1 Answer
Oct 19, 2017
Explanation:
#5 ln (5x + 1) - 17 = -27#
#5 ln(5x+1) = -10#
#ln(5x+1) = -10/5#
#ln(5x+1) = -2#
To eliminate
#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#