logarithmic differentiation problem

[bcddd214]

g(x)=?((x+1)(x^2+1)(x^3+1) )

I am going to need a lot of help with this one. logs suck.
Right off the bat I will tell you that I am totally confused as to when and how to convert to ln. I have read the book and it is still complete and total greek to me.
I am hoping that this thread will answer many question I have.

 

[tkhunny]

Logaithms are magic!

You need these:

log(a^b) = b*log(a)

log(a*b) = log(a) + log(b)

That's it. Let's see your efforts.

 

[bcddd214]

Logaithms are magic!

You need these:

log(a^b) = b*log(a)

log(a*b) = log(a) + log(b)

That's it. Let's see your efforts.

Baby step here.
log(a^b) = b*log(a)
would be for x^2+1 and x^3+1 but not x+1 because it's exponent is lacking?

These log rules give me troubles....

 

[tkhunny]

Trouble? That's why you shoudl work on them.

g(x)=?((x+1)(x^2+1)(x^3+1) )

log(g(x)) = log(?((x+1)(x^2+1)(x^3+1) )) = ½log((x+1)(x^2+1)(x^3+1)) = ½[log(x+1)+log(x^2+1)+log(x^3+1)]

It's not any more than that.