sahilsnpt wrote:

Nikkb wrote:

If \(y^{3x}=5^x\) and y is a positive number, what is x?

\(y^{3x}=5^x\)

=> \((y^3)^x=5^x\)

=> \(y^3=5\)

=> \(y=5^\frac{1}{3}\)

(1) \(y= \sqrt[3]5\)

=> \(y^3 = 5\)

This is already given in question stem. As no detail about x given.

Insufficient

(2) \(y^x=5^\frac{x}{3}\)

=> \(y^x=(5^\frac{1}{3})^x\)

=> \(y=5^\frac{1}{3}\)

This is already given in question stem. As no detail about x given.

Insufficient

1+2

Here also we don't get any information about x

Answer: E

Why can't we use the information given in the statement 1 and substitute it in the stem "y"??

Hi

sahilsnptour objective is to find the value of x and as explained in the above solution both statement 1 & the question stem gives the same information. So it will not lead to any solution. Just for practice, try substituting the value of y from statement 1 in the question stem and see if you are getting any value for x