Question

What is the solution of the equation 4(3-x)^4/3-5=59

Answer 1

Solve: 4(3-x)^4/3-5=59

First, add 5 to both sides, obtaining 4(3-x)^4/3 = 64.

Then simplify, by dividing both sides by 4: (3-x)^4/3 = 16

Now raise each side of this equation to the power (3/4):

(3-x)^(4/3)(3/4) = 16^(3/4)

3-x = 2^3

-x = 2^3 - 3, or x = 3 - 2^3, or x = 3 - 8, or x = -5 (solution)