Logarithms from our previous class
exponents if you have two to the power of five
this is what it means, two multiply it's
self repeatedly in five places two times
two times two times two times two which
is equal to 2 times 2 4 4 times 2 8 8 X
2 16 and 16 times 2 32 now I can as well
undo this same problem saying two raised to the power of
X is equal to 32 now the first thing
that should come to your mind is how
many times will I multiply 2 by itself
to give me 32 and now we take us to 2 as
power of X is equal to 2 to the power 5
to 10 to 2 X is equal to 5 this is what
logarithms is all about okay let's now
go into logarithms definition the
logarithm of a number is the power to
which 10 is raised to give that number
as simple as that, for instance
now if I say log base 10 1000 what we
have is that we free okay our second two
points where we explain how this comes
to be what I want you to understand this
that logarithms can be given in other
bases other than base 10 for example how
from this particular above
32 we all know is equal to 2 is
5 which is log
Of two log two of 32 equal to 5
this is logarithms. now let's look
at some fundamental truth of a logarithm
in general y is equal to n raised to the power of X
then X is equal to log n y this is
what I hvae explained in this place okay now if
y is equal to 10 to the power of X then
X is equal to log 10 Y okay log 10 Y I
want to give you the compression between
exponents and logarithms exponents power
to this side and
logarithms to this side if you have ten
thousand ten thousand is equal to 10 to
the power 4 if you have log ten thousand
is equal to four
you have 1,000 is equal to 10 is power
of three that's from exponent right
you have log 1000 is equal to 3, 100 is
equal to 10 raised to the power of 2 log 100 is
equal to 2 10 is equal to 10 raised to the power of 1 log 10
is equal to 1, 1 is equal 10 raised to the power of 0
this is coming from indices log one
equal to 0 now this still looks very
simple but at the same time I want you
to master it because this the foundation
we are going to be building our next
class on. thank you
in the next video I'll be taking you the use
of logarithms table.
