what is the solution of the equation 8=(x-3)^3/4

Question

It's not making sense I try to solve it but I don't get 8.

below are the plug in choices.
16
13
19
11

Answer 1

you need to raise both sides to the 4/3 power that makes

8 raised to the 4/3 which means to find the cube root of 8 which is 2 then raise 2 to the 4th power = 16

4/3 times 3/4 = 1 so the power on x-3 is just one

16 = x-3
19 = x

Check by going back to the original problem and it does work.

Answer 2

thank you!