Question

X^(5/3) = 32
Solve for x

Answer 1

Well, 2^5 is 32, so what's 2^3?

Answer 2

8?

Answer 3

Yup :)

Answer 4

wait is that the answer? o.O

Answer 5

Well, what is the cube root of 8? If you then raise that number to the 5th power, do you get 32?

Answer 6

ohhh okay i got it thanks! :)

Answer 7

If you wanted to do this a different way,

\[x^{5/3} = 32\]Take log base 2 of both sides
\[\frac{5}{3}*\log_2 x = \log_2 32 = 5\]Multiply both sides by 3/5 to move the fraction
\[\log_2 x = 3\]Take the anti-log base 2
\[x=2^3 = 8\]

Answer 8

^that was what i was looking for thanks

Answer 9

you're welcome!