Question

If 7^x+3=3^x+3,then x is equal to

Answer 1

7^x+3 = 3^x+3

7^x *7^3=3^ x *3^3

since a^m+n = a^m *a^n

7^x /3^x = 3^3/7^3

(7/3)^x = (3/7)^3

(7/3)^x = (7/3)^ -3

since (a/b)^-n = (b/a)^n


therfore x= -3

since if a^m = a^n then m=n