Question

What is the value of x in an equation log(3)x=log(3)12-log(3)16

Answer 1

The value of x for the log function is 0.75

Explanation:

Given log function as :

`Log_(3)`x =
`Log_(3)`12 -
`Log_(3)`16

Now. from log property

`(log_(a)m)/(log_(a)n)` =
`Log_(a)`m -
`Log_(a)`n

So,
`Log_(3)`x =
`Log_(3)`12 -
`Log_(3)`16

Or,
`Log_(3)`x =
`(log_(3)12)/(log_(3)16)`

or,
`Log_(3)`x =
`(log_(3)3)/(log_(3)4)`

Now removing log with base 3 both side

∴ x =
`(3)/(4)`

I.e x = 0.75

Hence The value of x for the log function is 0.75 Answer