Question

solve the following log equation

ln (x+2) - ln (x-4) = 5

Answer 1

ln((x+2)/(x-4))=5
e^5=(x+2)/(x-4)
(x-4)e^5=x+2
(e^5)x-4e^5=x+2
(e^5)x-x=2+4e^5
x(e^5-1)=2+4e^5
x=(2+4e^5)/(e^5-1)