Idon't know how to do this question

A) 
to solve a, the following rules are crucial:

(i) 

so the difference of 2 logarithms with the same base, is the logarithm of their division, preserving the same base.

(ii) if  then b=c.

so if 2 logarithms with the same base are equal, then the arguments (b and c) are equal as well.

so


apply rule (i):



apply rule (ii):



now 'isolate' y:



b) 
some more rules:

(iii) 

(iv) 

apply iii and iv:



then substitute  in the equation:









so now we have a quadratic equation of degree 2,

a=2, b=-5, c=2

the discriminant is , the root of it is 3

so the roots are:

and


finally, we convert u's to x's:

means 

so for u=2, x=4, and for u=1/2 we have x=1/4

Answers:

A) y=(6 x^{2} -1) \frac{(x-1)}{x} 

B) solution set: {4, 1/4}