Question

256= 4^x^3

find x

Answer 1

When doing operations to both sides, you want to go backwards (instead of doing exponents first, do addition up). That means you want to divide by 4 first, then cube root.

Answer 2

first take 4 common,we get
4*(x^3 + 64)
now,we can write x^3 + 64 as x^3 + 4^3
so,by the formula of a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
we get,
4*(x+4)(x^2 + 16 - 4x)
hence,this expression has 3 factors which are
4 , (x+4) and (x^2 + 16 - 4x)

Answer 3

thank you!

Answer 4

welcome :)