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start with
log (a*b) = log a + log b
log x^a = a * log x
and every other property of logs falls out, with a bit of cheating.
The different types of logs are tricker.
Start with the definition of a log to a fixed base.
log_a x = k
=>
a^k = x
Now, the goal is to find the log_b(x), the log of x to a different base.
Well,
a^k = x
=>
log_b a^k = log_b x
=>
k * log_b a = log_b x
but k = log_a x so
log_a x * log_b a = log_b x
which is how you convert between bases.
I find, personally, that knowing how to work out the important results makes it easier for me to work with something.
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Last edited by JHVH : 10-29-4004 BC at 09:00 PM. Reason: Time for a rest.
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