Question

If logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y​

Answer 1

`(x,y)\rightarrow(3,2)`

Explanation:

I assume you mean
`\log_x(27)+\log_y(4)=5` and
`\log_x(27)-\log_y(4)=1`:

`\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1`

`2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y`

`\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x`