Answer:
[tex]\huge \boxed{x=-2}[/tex]
Step-by-step explanation:
64^x = 16^(x-1)
Rewrite the bases with base of 4.
(4^3)^x = (4^2)^(x-1)
Multiply exponents.
4^(3x) = 4^(2(x-1))
Cancel same bases.
3x = 2(x-1)
Expand brackets.
3x = 2x - 2
Subtract 2x from both sides.
x = -2
