What is the solution of (8x - 8)^3/2 = 64?

x = 3

x = 5

x = 13

x = 65

Solution:

It is given that,

(8x - 8)^3/2 = 64

By squaring on both sides, we get

(8x - 8)^3/2x2 = 64²

By further simplification, we get

(8x - 8)³ = 4096

Taking cube root on both sides,

8x - 8 = 16

We can write it as:

8x = 16 + 8

8x = 24

Dividing both sides by 8

x = 3 

Therefore, the solution is x = 3.

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What is the solution of (8x - 8)^3/2 = 64? 

Summary:

The solution of (8x - 8)^3/2 = 64 is x = 3. The given equation can be simplified by squaring both sides.