Question

explain what logarithms are...

Answer 1

@rational

Answer 2

what a log is depends on the context of how they are defined.

lets say we have a function whose rule is: L(ab) = L(a) + L(b)

what can we determine are the properties of this function?

Answer 3

L(1b) = L(1) + L(b)

L(b) = L(1) + L(b) only if L(1) = 0

Answer 4

logarithms are exponents

for example :
Since \(3^{\color{blue}{2}} = 9\), we say \(\color{blue}{2}\) is the logarithm of \(9\) in base \(3\)

Answer 5

L(aaaa...a {n times}) = L(a)+L(a)+L(a)+L(a)+...+L(a) {n times}

L(a^n) = n L(a)

Answer 6

L(a b^(-n)) = L(a) + L(b^(-n))

L(a b^(-n)) = L(a) - nL(b)

Answer 7

logs dont have to be tied to anything in particular; they can be a function defined all by themself. so it depends onthe context in which you are trying to define them.

Answer 8

okay thx