Question

find x in (3/4)^x-3 = (4/3)^x-1

Answer 1

Answer:

(3/4)^x-3 = (4/3)^x-1

(3/4)^x-3 = (3/4)^-(x-1). [reciprocal]

(3/4)^x-3 = (3/4)^-x+1

x-3 = -x +1

x+x = 1+3

2x = 4

x = 2