Answer:
x = 3
Step-by-step explanation:
[tex](8x-8)^{3/2}=64[/tex]
Multiply both sides by the exponent 2/3.
[tex]8x - 8 = 64^{2/3}[/tex]
Solve for the exponent.
[tex]8x-8=16[/tex]
Add 8 to both sides.
[tex]8x = 16+8[/tex]
[tex]8x=24[/tex]
Divide 8 into both sides.
[tex]x=24/8[/tex]
[tex]x=3[/tex]
