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How to do this?

y2/3 = 6x + 4lnx - 2

I have to give my answer in the form of y2 = g(x)

I find it tricky to convert y2/3 to y2.. Can someone show me how to do it?

Thanks
Reply 1
(ab)c=abc(a^b)^c=a^{bc}
Reply 2
Original post by sabre2th1
y2/3 = 6x + 4lnx - 2

I have to give my answer in the form of y2 = g(x)

I find it tricky to convert y2/3 to y2.. Can someone show me how to do it?

Thanks


Take both side of equation on the 3rd power
(y23)3=y2\displaystyle \left (y^{\frac{2}{3}}\right )^3=y^2
For RHS use
Unparseable latex formula:

\displaystyle \left (a+b+c)^3=a^3+b^3+c^3+3a^2c+3b^2c+3ac^2+3bc^2+6abc


where a=6x b=4lnx and c=-2

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