Question

what is the value of x: 4^3+4^3+4^3+4^3=2^x​

Answer 1

Answer:

62x+4=33x⋅2x+8

⇒64⋅32x⋅22x=33x⋅2x+8

⇒64=3x⋅28−x

⇒34⋅24=3x⋅28−x

∴x=4.

Answer 2

Answer:

$\rm x = 8$

Step-by-step explanation:

$\rm4^3+4^3+4^3+4^3=2^x$

$\rm64+64+64+64 = {2}^{x}$

$\rm256= {2}^{x}$

$\rm {2}^{8} = {2}^{x}$

Comparing the powers,

$\rm8 = x$