Question

If log x (8x-3)-logx4=2, the value of x is or .

Answer 1

X false -10 cg(centigrams)+8x-3

Answer 2

`x = (1)/(2)` or
`x = (3)/(2)`

Explanation:

`log_x (8x - 3) - log_x {4} = 2`

`log_x (8x - 3)/(4) = 2`

`log_x (2x - (3)/(4)) = 2`

`x^2 = 2x - (3)/(4)}`

`4x^2 - 8x + 3 = 0`

`(2x - 1)(2x - 3) = 0`

`2x - 1 = 0` or
`2x - 3 = 0`

`2x = 1` or
`2x = 3`

`x = (1)/(2)` or
`x = (3)/(2)`