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C2 - Chapter 3 - Exponentials and Logarithms
Transcript of C2 - Chapter 3 - Exponentials and Logarithms
pick up kids
you have a lot more formulae given to you in C2
Now lets try Exercise 3E
The Laws of Logarithms
Solving equations of the form
Exponentials and Logarithms
powers and stuff
What are Logarithms?
try Exercise 3D
its always fun learning how to use a new button on your calculator
log n = x
a = n
log x +
log xy =
log x -
log x =
What did people do before calculators?
they had to use a log book.
a = b
a logarithm is a function and is now a new technique you can use in conjunction with your other algebraic methods
solve the equation:
3 = 20
log (3 ) = log 20
take logs to the base 10 on both sides
log (3) = log 20
= log 20
Changing the base
rearranged this makes:
using the power law:
taking logs to a different base:
writing this as a power:
working in base a suppose that:
log x = m
log x = log (x) X log (a)
mlog (a) = log (x)
log (a ) = log (x)
a = x
log x =
a special case worth noting is what happens when you change
to the base
give it a go
log b =
A couple of examples
for the board:
1) Find to 3sf the value of
log x + 6log 5 = 5
2) Solve the equation
Keep an eye out for questions like this
read "log base a of n"