Question

If In x + ln(x – 4) = ln(7x), then x ​

Answer 1

x=11

Explanation:

ln rule: ln(ab)=ln(a)+ln(b)

ln(x)+ln(x-4)=ln(7x)

ln(x(x-4))=ln(7x)

x^2-4x=7x

x^2-11x=0

x(x-11)=0

x=0 or x=11

Since ln(x) is undefined when x is less or equal to 0

x=11