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chelsface2 · Jan 30, 2008, 08:25 PM

OK right now in pre cal I'm lost.
we've had a sub for the past 3 days... and we are learning new stuff.
our teacher was like read the book... it's not in there.
one of our homework problems tonight is:

log(base 2) (3x+2) -log(base 4) x = 3

then for a hint it says change log(base4 x^2 to base 2.

what are the steps for solving this.

anyone?

PolluxCastor · Jan 30, 2008, 09:40 PM

$log_n(x) = log(x)/log(n)$

That says to find log base n of x, divide the log of x (any base) by the log of n.

Does that help?

chelsface2 · Jan 30, 2008, 09:58 PM

Not really.
I'm bad with like the properties...
I'm a visual learning I guess. I have to see how you do it and then I can pick it up.

PolluxCastor · Jan 30, 2008, 11:39 PM

Originally Posted by chelsface2

log(base 2) (3x+2) -log(base 4) x = 3

then for a hint it says change log(base4 x^2 to base 2.

Is the bolded section actually $log_4(x^2)$ ? As is implied in the hint line.

If that is the case, it will simplify nicely to:

$log_2(x^2)/log_2(4)$

since $log_2(4)$ simplifies to 2, leaving

$1/2 log_2(x^2)$

For now I'll leave it here and see how you do.