Use the computational properties of logarithms to write the expression ln (x – 1)(x + 6) in another form.

Question

e.mccormick · Answer

Know the rules of logs for things that are added and subtracted?

anonymous · Answer

No

e.mccormick · Answer

$$log(m\cdot n) = log(m)+log(n)$$That one applies here, if that log is around both of the terms.

e.mccormick · Answer

The other two are:
$$log\left(\frac{m}{n}\right) = log(m)-log(n) \
log(m^n)=n\cdot log(m)$$

anonymous · Answer

log(x-1)+log(x+6)?

e.mccormick · Answer

So if your is $ln[(x-1)(x+6)]$ then yah, $ln(x-1)+ln(x+6)$

anonymous · Answer

and that's it?

e.mccormick · Answer

Not much you can do to what is inside the braces unless you could bring things to a power and then have the stuff simplify.  Then your right had side would be e to the something and it should be solvable... but other than that, there is nothing else that could be done.

e.mccormick · Answer

This is the type of case where you could do more.
$$ln x = 5\implies e^{ln x}=e^5 \implies x=e^5$$
If they do not give you a right hand side, there is nothing else to be done.