LOGARITHMS...what???

Think about a number to a common base. Say base 10 the any real number can be expressed as a logarithm to that base say a is any real number and b is it's base ten (10) logarithm.

So a=10^b or b=log10(a)

Now consider the rules of exponents
!0^x*10^y=10^(x+y)
!0^x/10^y=10^(x-y)
(10^x)^y=10^(xy)
& so on
Using the rules of exponents and logarithms to a common base you can treat multilication and division like addition and subtraction and exponenation like multiplication. In other words its a sidestep of operations that allows one to simplify the arithmetic.

Example I have two really big numbers a1 and a2. I want to multiply them. I can take the base ten logarithm of a1 such that a1=10^b1 and a2=10^b2. The the logarithm of the mutiple (a1*a2) is the sum of b1 and b2 or
a1*a2=10^b1*10^b2=10^(b1+b2)
division is treated as subtraction.

Look at the rules of exponiation and you'll get an inkling of the utility of logaritms.

Rap

now i realise why i chose art instead of math ROFL. someone learn meh sum math skilz por favor?

wow raprap ur smart! thanks