Question

log base 4 (x^2 - 4) simplify. I am not sure if I am suppose to be using the log for x^2 - 4 or not ..

Answer 1

Without a value for x I'm not sure how you even simplify that. There is no quick and easy rule that covers \(\log (a + b)\) anyway.

Answer 2

just not sure if if I am on the right track

Answer 3

value for x is not given because I am trying to simplify the expression

Answer 4

No, that is explicitly one of the things you cannot do.
I think it's as simple as it's going to get! Maybe it's a trick question.

Answer 5

I mean, if you hate base 4 you can rewrite it in base 10 with the change of base formula but that's not really any better looking.

Answer 6

I used the law where log base a x + log base a y = log base a (x) (y)
My question will that will be applicable here. That was my first thought it simple as it gets.

Answer 7

OH NO that doesn't apply

Answer 8

That's for a product, not a sum.
I mean, you could factor it and then use that rule.

\[\log_4 ((x+2)(x-2)) = \log_4 (x + 2) + \log_4 (x - 2)\]
Does that count as "simpler"? Beats me.

Answer 9

that's for multiplication ..

Answer 10

wow just talkin to u made me realize the mistake . yes I think its simple as it gets