Solve the exponential equation by converting to a common base:

Question

Show step by step work:

81^4x+18=9^32x+34

Answer 1

The common base again is 3

81 = 9^2 So

(9^2)^4x+18 = 9^32x+34

9^8x+36 =9^32X+34

8x+36 = 32x+34

24x=2

x= 1/12