Question

Solve the equation ln(1+x)=1+ln(x)

Answer 1

1/(e - 1)

Explanation:

ln (1 + x) = 1 + ln (x)

ln (1 + x) - ln (x) = 1

ln ((1 + x)/x) = 1

(1 + x)/x = e = 1 + 1/x

x = 1/(e - 1)