Find all real solutions of the equation ln(x^4)+ln(x^2)-ln(x^3)-2=7?

The equation to be solved is: ln(x^4) + ln(x^2) - ln(x^3)
- 2 = 7

ln(x^4) + ln(x^2) - ln(x^3) - 2 =
7

use the property of logarithms that gives: log a^b =
b*log a

=> 4*ln x + 2*ln x - 3*ln x = 7 +
2

=> 3*ln x =
9

=> ln x =
9/3

=> ln x = 3

The
base of ln is e. This gives x = e^3

The
required solution of the equation is x = e^3