Can someone break down the 5 rules of logarithms for me?

Question

anonymous · Answer

$$\log{a}+\log b=\log(ab)$$
$$\log a- logb=\log(a/b)$$
$$m \log a=\log a^m$$
$$\frac{\log a}{\log b}=\log_{b}a$$
$$x^{\log_xa}$$

perl · Answer

you need a base c for your change of basis formula
log_b a = log_c a / log_c b

lgbasallote · Answer

^actually...NotSObright is right...:)

perl · Answer

i didnt say its wrong, but it can be another base, than the default base

anonymous · Answer

i only remember power/ quotient/ and power rules was there more to it?

anonymous · Answer

product

perl · Answer

see above

anonymous · Answer

In all the above formulas is for all bases ob default valid until you use that same base

perl · Answer

all bases valid , yes

anonymous · Answer

so rules only apply or can be different under certain circumstances?

lgbasallote · Answer

depends on the situation

anonymous · Answer

You learn through practice

perl · Answer

ok here are some examples
log 2 + log 3 = log (2*3). 
ln (2/3) = ln 2 - ln 3

perl · Answer

log 2 + ln 3  does not combine, because they are different bases

perl · Answer

log 2^3 = 3* log 2 ,  see if you can find which rule I used

perl · Answer

so log 8 = log (2^3) = 3 log 2 
so 
log 8 = 3 log 2

anonymous · Answer

ok it cleared it up a bit ty m8

anonymous · Answer

rule of power right?

directrix · Answer