Question 1074846

Solve the following equation:


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



Thanks!
<pre>Only 1 correct answer and it's {{{highlight_green(- 5)}}}

Read on to see how that was derived.
{{{matrix(2,1, "", 4(3 - x)^(4/3) - 5 = 59)}}}
{{{matrix(2,1,"", 4(3 - x)^(4/3) = 64)}}} ------- Adding 5 to both sides 
{{{matrix(2,1,"", (3 - x)^(4/3) = 16)}}} -------- Dividing both sides by 4
{{{matrix(2,1, "", (3 - x)^((4/3) * (3/4)) = 16^(3/4))}}} ------ Raising each side to the reciprocal of {{{4/3}}}, or to the {{{(3/4)^(th)}}} power
{{{3 - x = 2^3}}}

- x = 2^3 - 3

- x = 8 - 3

{{{highlight_green(matrix(1,5, x, "=", 5/(- 1), "=", - 5))}}}</pre>