Logarithms Revision 2
Properties of Logarithms By Oli, Charlie, Tom and Cameron
Recap on what we already learnt • We learnt last lesson that:
Example
What's new? It’s Log rules • There are four basic rules:
log(a ⋅ b) = log a + log b ⎛ a ⎞ log ⎜ ⎟ = log a − log b ⎝ b ⎠ n log a = n ⋅ log a
And they are not in the formula booklet!
Multiplication rule -‐ • The logs have to have the same base, e.g base 10. • Numerical example:
Division rule -‐ • Same as before; the logs have to have the same base. • Numerical example:
Power rule -‐ • The power n is removed and becomes the coefPicient of log. • Numerical example:
The nth root rule -‐ • Numerical example:
Recap • So those are the log rules we have learnt so far.
log(a ⋅ b) = log a + log b ⎛ a ⎞ log ⎜ ⎟ = log a − log b ⎝ b ⎠ n log a = n ⋅ log a
Some questions! (From exercise 7C Q2 page 361) •
Some questions! (From exercise 7C Q2 page 361) •
Some questions! (From exercise 7C Q2 page 361) •
Recap on what we already learnt • We learnt last lesson that:
Example
What's new? It’s Log rules • There are four basic rules:
log(a ⋅ b) = log a + log b ⎛ a ⎞ log ⎜ ⎟ = log a − log b ⎝ b ⎠ n log a = n ⋅ log a
And they are not in the formula booklet!
Multiplication rule -‐ • The logs have to have the same base, e.g base 10. • Numerical example:
Division rule -‐ • Same as before; the logs have to have the same base. • Numerical example:
Power rule -‐ • The power n is removed and becomes the coefPicient of log. • Numerical example:
The nth root rule -‐ • Numerical example:
Recap • So those are the log rules we have learnt so far.
log(a ⋅ b) = log a + log b ⎛ a ⎞ log ⎜ ⎟ = log a − log b ⎝ b ⎠ n log a = n ⋅ log a
Some questions! (From exercise 7C Q2 page 361) •
Some questions! (From exercise 7C Q2 page 361) •
Some questions! (From exercise 7C Q2 page 361) •
