X to the 4/3 power minus 5 equals 11

X^4/3 - 5 = 11
X^(4/3) = 16

Take the logarithm of both sides and simplify. Once you get it into the form

Log(x) = something

Take the antilog (10 to the power) and you have your answer.

You can also use the natural log instead of the common log, if you wish.

Hint: Answer is between 1 and 20

Much easier approach:



Cube both sides:


Recall that , hence


So you have:


Can you take it from here?