The number of solutions of `log_4 (x-1) = log_2 (x-3)`

Explanation

The given equality meaningful if
` x- 1 gt 0, x - 3 gt 0 rArr x gt 3`.
The given equality can be written as
` (log(x-1))/(log 4) =(log(x-3))/(log 2) `
` or log(x-1)= 2 log(x-3)(log 4 = 2 log 2)`
` or (x-1)=(x-3)^(2)`
` or x^(2) - 7x + 10 = 0`
` or (x-5)(x-2)=0`
` or x= 5 or 2`.
But ` x gt 3, so x = 5`.