Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:
Answer: y=2x^2+4x+1
Given:
Consider the given expression is

To find:
The simplified form of the given expression.
Solution:
We have,

It can be written as
![[\because \log_ax+\log_ay=log_a(xy)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_ax%2B%5Clog_ay%3Dlog_a%28xy%29%5D)
![[\because \log_ax-\log_ay=log_a\dfrac{x}{y}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_ax-%5Clog_ay%3Dlog_a%5Cdfrac%7Bx%7D%7By%7D%5D)


Therefore, the simplified form of the given expression is
.