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

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

Mathematics
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\[\log{a}+\log b=\log(ab)\] \[\log a- logb=\log(a/b)\] \[m \log a=\log a^m\] \[\frac{\log a}{\log b}=\log_{b}a\] \[x^{\log_xa}\]
you need a base c for your change of basis formula log_b a = log_c a / log_c b
^actually...NotSObright is right...:)

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i didnt say its wrong, but it can be another base, than the default base
i only remember power/ quotient/ and power rules was there more to it?
product
see above
In all the above formulas is for all bases ob default valid until you use that same base
all bases valid , yes
so rules only apply or can be different under certain circumstances?
depends on the situation
You learn through practice
ok here are some examples log 2 + log 3 = log (2*3). ln (2/3) = ln 2 - ln 3
log 2 + ln 3 does not combine, because they are different bases
log 2^3 = 3* log 2 , see if you can find which rule I used
so log 8 = log (2^3) = 3 log 2 so log 8 = 3 log 2
ok it cleared it up a bit ty m8
rule of power right?
Summary of log laws and demo problems at the link ---> http://www.themathpage.com/aprecalc/logarithms.htm#laws

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