Homework Help

find x in the equation below. logx-log32+2log8 = 0 All are in base 'a'.

user profile pic

christiano-cr7 | Salutatorian

Posted June 30, 2013 at 2:38 PM via web

dislike 1 like

find x in the equation below.

logx-log32+2log8 = 0

All are in base 'a'.

Tagged with math

1 Answer | Add Yours

user profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted June 30, 2013 at 2:46 PM (Answer #1)

dislike 1 like

We know the following rules in logarithm.

`loga+logb = log(ab)`

`loga-logb = log(a/b)`

`loga^b = bloga`

 

`log_a(x)-log_a32+2log_a8 = 0`

`log_a((x*8^2)/32) = 0`

`log_a(2x) = log_a1`

`2x = 1`

`x = 1/2`

 

So the answer is x = 1/2

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes