# Math Help - Logarithms!!

1. ## Logarithms!!

Yay.

will someone please explain to me why log[sub]2 4 - log[sub]2 16 = -2??

thanks

2. well its pretty basic,
you just need to ask yourself the right questions:
what number that 2 raised to,gives you 4?
and second question is what number that 2 is raised to,gives you 16?

3. Originally Posted by peepsrock09
Yay.

will someone please explain to me why log[sub]2 4 - log[sub]2 16 = -2??

thanks
$\log_2 4 - \log_2 16 = log_2 2^2 - \log_2 2^4 = 2 - 4 = -2$.