Hi all, I have the following formula

$\displaystyle -ctLoge = log(\frac{a-b}{a})$

and I have to get 't' as the subject so I thought I would divide the right hand side by -cLoge to get this

$\displaystyle t = \frac{log(\frac{a-b}{a})}{-cLoge}$

However, my textbook says the answer is

$\displaystyle t = \frac{-log(\frac{a-b}{a})}{cLoge}$

Could someone please explain why my method wasn't correct?

Thanks very much

John