Check out some similar questions!

Estuardo_needs_ · Mar 3, 2009, 03:41 PM

X to the 4/3 power minus 5 equals 11

Perito · Mar 3, 2009, 04:01 PM

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

ebaines · Mar 4, 2009, 07:26 AM

Much easier approach:

$ x^{4/3} = 16 \\ $

Cube both sides:
$ (x^{4/3})^3 = 16^3 \\ $

Recall that $({x^a})^b = x^{ab}$ , hence
$ (x^{4/3})^3 = x^4 $

So you have:
$ x^4 = 16^3 $

Can you take it from here?