Why Log? Can't it be Wood?

We know that,

log x- log y = $log \dfrac{x}{y}$

$\rightarrow log \dfrac {x+3}{x-3}=1$

But Can we Equate both LHS and RHS? No. Because, For Equating both sides, Both sides have to be in $log$ form.

1 can be expressed as $log 10$

Now, We can equate both sides

$x+3= 10 (x-3)$

$9x=33$

$x=\dfrac {11}{3}= 3.667$

Note:- All logarithms here are common logarithms, i.e. Base 10.

Cheers!

log(x+3) - log(x-3)=1 log(x+3)/(x-3)=1 (x+3)/(x-3)=10 Solve x=33/9=3.66666666666666666666666 so on.. Round off 3.667