Question

Solve. 64^x = 16^x–1

Answer 1

64 is 4^3..16 is 4^2 so...

(4^3)^x = (4^2)^(x-1)
4^3x = 4^(2)(x-1)

i'll leave the rest to you :DDD

Answer 2

64^x = 16^(x - 1)
(2^6)^x = (2^4)^(x - 1)
Exponent rules.
2^(6x) = 2^(4x - 4)
Log base 2 of both sides.
6x = 4x - 4
2x = -4
x = -2