# Math Help - evaluating logarithms

1. ## evaluating logarithms

log2 (x+3) - log2 x = 2

I know that since this is a subtracting equation, I need to compress this to division. However after that I don't know what to do next.

log2 (x+3)
log2 x

= 2

How I'm I able to solve for x?

2. Originally Posted by katchat64
log2 (x+3) - log2 x = 2

I know that since this is a subtracting equation, I need to compress this to division. However after that I don't know what to do next.

log2 (x+3)
log2 x

= 2

How I'm I able to solve for x?
actually, it is $\log_2 \left( \frac {x + 3}x \right) = 2$ (review your log rules!)

Now, just do the anti-log, you get $\frac {x + 3}x = 2^2$ (since $\log_a b = c \Longleftrightarrow a^c = b$)

now solve for $x$