solve fo x and show all steps

Question

2log_bx=2log_b(1-a)+2log_b(1+a)-log_b((1/a)-a)²

Answer 1

Condense all logs on each side using properties of logarithms.

 

log_b(x²) = log_b[(1 - a)²(1 + a)² / ((1/a) - a)²]

 

 

Now, just set the arguments of the logs equal to each other.  From there, you can solve for x.