Question

Log4 (3x – 7) – log4 2 = 3.

Answer 1

The solution of the following question x = 45

Explanation:

`log _(4) (3x -7)}` -
`log_(4) 2` = 3

or,
`log_(4) (3x-7)/(2)` = 3 [ we know that,
`log_(10)a - log_(10)b = log_{10(a)/(b) }`]

or,
`(3x-7)/(2)` =
`4^(3)`

or,
`(3x-7)/(2)` = 64

or, 3x -7 = 64 X 2

or, 3x = 128 + 7

or, 3x = 135

or, x = 135/3

=45

Here is the answer.