Question

If x=y=2z and xyz=256 then what is the value of x?.

Answer 1

Given, x = y = 2z

So we can write xyz as,

xyz = 256

=> (2z)(2z)z = 256

=> (4z²)(z) = 256

=> 4z³ = 256

=> z³ = 256/4

=> z³ = 64

=> z = cube root 64

=> z = 4

Now we know that x = 2z

=> x = 2 × 4

=> x = 8

and x = y so y is also 8


Hope it helps dear friend ☺️✌️✌️

Answer 2

Given,

$xyz = 256 \\ \\ \text{Multiplying Both sides with 2} \\ \\ 2xyz = 256*2 \\ \\ x*y*(2z) = 512 \\ \\ \text{Putting y = x and 2z = x } \\ \\ x*x*x = 512 \\ \\ x^{3} = 512 \\ \\ x = \sqrt[3]{512} \\ \\ x = 8$

x = 8