Question

Condense the expression...

Answer 1

ln(x)-4[ln(x+2) +ln[x-2)] to a log of a single quantity.

Answer 2

$$
ln(x)-4[ln(x+2) +ln[x-2)\\
=\ln\cfrac{x(x-2)}{(x+2)^4}
$$
Make sense?

Answer 3

Why do you have (x+2)^4 ?

Answer 4

$$
=-4\ln(x+2)=-\ln(x+2)^4
$$

Answer 5

Do you recall that property?

Answer 6

I have forgotten it. But I remember now. And you just bring the ln out?

Answer 7

yes

Answer 8

Okay! Thank you.

Answer 9

$$
\ln(2*3*4) =\ln 2 + \ln 3 + \ln 4
$$
Is the other property I used.

Multiplication within the log is adding of the individual components of the argument of the log.