log (x+2) - log x = log 5

### 2 Answers | Add Yours

log (x +2) - log x = log 5

We know that log a - log b = log (a/b)

==> log (x+2)/x = log 5

==> (x+2)/x = 5

Now cross multiply:

==> x + 2 = 5x

==> 2 = 4x

==> 2/4 = x

==> **x= 1/2**

use the rule that log(A) - Log(B) = log (A/B)

so log (x+2) - log x = log 5

log((x+2)/x) = log 5

x + 2 / x = 5

x + 2 = 5x

2 = 4x

**1/2 = x**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes