1. ## Help with logarithms, please?

I'm terrible at logarithms ^^;;

I'd really like some help learning how to solve these kinds of equations:
8^x=4
9^x=27

I also dont get how to write logarithmic expressions as single logarithms when a problem like: log (x-1)^2-log (3x/4)^2. I dont understand what to do with the square...

I have the same problem with expanding equations with squares in them like: log base of 2 (x + 1)^2
log base of 4 r^2 t

Help would be much appreciated :]

2. Originally Posted by raspberry heaven
I'm terrible at logarithms ^^;;

I'd really like some help learning how to solve these kinds of equations:
8^x=4
9^x=27
you do not need logarithms for these. jsut express both sides in terms of the same base

3. Originally Posted by raspberry heaven
I also dont get how to write logarithmic expressions as single logarithms when a problem like: log (x-1)^2-log (3x/4)^2. I dont understand what to do with the square...
you should look up the laws of logarithms. $\log_a x - \log_a y = \log_a \frac xy$. x and y can be functions here. doesn't matter if they are squared or not.

I have the same problem with expanding equations with squares in them like: log base of 2 (x + 1)^2
another rule of logarithms is. $\log_a (x^n) = n \log_a x$ so, $\log_2 (x + 1)^2 = 2 \log_2 |x + 1|$ etc. i put absolute values because the square would keep thing positive always