Question

Solve the following:

2(x+5)^3/4=128


The answer is 251 I just need to know how to solve to get that.

Answer 1

$2(x+5)^{3/4} = 128$  Divide 2 on both sides

$(x+5)^{3/4}=64$   Multiply an exponent of 4/3 on both sides

$((x+5)^{3/4})^{4/3}=(64)^{4/3}$

x + 5 = 256     Subtract 5 on both sides

x = 251