Thread: kinda hard exponent problem

q23 (answer 4)

Given 2x^2 = 3y^3

By how much will y increase if x is multiplied by 2?

1) 2^(1/3)
2) 4^(1/3)
3) 8




thanks in advance!

Reform the given equation to
Afterwards replace by .
Then you'll see is increased by a factor ... ?

y= (2/3x^2)^(1/3)
2^2=4
4*2/3 = 8/3
8/3^(1/3)
isn't an answer option... grrr
that 3 keeps bugging me out!

What I mean is the following:

(1)
Because the question asks how y increases if x is multiplied by two you have to replace x by 2x


(2)

So you recognize an equal part in (1) and (2), but (2) is multiplied by a factor ... ?

I thought I read The problem wrong. That's why I included the image. Again I don't know the answer. I got the same reasoning solution as you

Originally Posted by jsvlad

I thought I read The problem wrong. That's why I included the image. Again I don't know the answer. I got the same reasoning solution as you

If you understand how Siron got that answer then use your laws of exponents to say that


Edit: The question is asking to find the difference in "scale" if you will. In other words it wants you to find where f(x) is the equation given.

From Siron's post the answer is eq2/eq1