1. All pupils can solve equations involving logs
Logarithms and Practice
L.O.
All pupils can solve equations involving logs
All pupils can answer a variety of questions on the topics we have covered this year so far

2. What are the laws of logarithms?
Starter:
Write the exponentials on the other board in log form.
Ext.
What are the laws of logarithms?
Write three questions requiring them to solve.

3. All pupils can solve equations involving logs
Logarithms and Practice
L.O.
All pupils can solve equations involving logs
All pupils can answer a variety of questions on the topics we have covered this year so far

4. Main 1:
solve equations involving logs
You can solve equations involving powers of 𝑥 by ‘taking logs’.
Example 1: 2 𝑥 =60
Example 2: 5 𝑥−3 =12
Example 3: 6 2𝑥 −2 6 𝑥 −15=0
Solving equations involving logs
Example: log 5 𝑥+1 = log 5 𝑥 +3

5. Main 1:
solve equations involving logs
Practice Questions – Page 23

6. All pupils can solve equations involving logs
Logarithms and Practice
L.O.
All pupils can solve equations involving logs
All pupils can answer a variety of questions on the topics we have covered this year so far

7. Main 2: What have we covered this year so far? Number Sets Indices
the topics we have covered this year so far
What have we covered this year so far?
Number Sets
Indices
Rounding and Estimating
Standard Form
Surds
Logarithms

8. Main 2: Review Exercise: Page 24
the topics we have covered this year so far
Review Exercise: Page 24

9. All pupils can solve equations involving logs
Logarithms and Practice
L.O.
All pupils can solve equations involving logs
All pupils can answer a variety of questions on the topics we have covered this year so far

10. Main 1: Example: Find log 2 7 . log 2 7 = log 10 7 log 10 2
solve equations involving logs
Example: Find log
log 2 7 = log log 10 2
This can be evaluated on a calculator using the log button.
Challenge:

11. What does the graph of log 𝑥 look like?
Extra:
What does the graph of log 𝑥 look like? x
0.0001
0.001
0.01
0.1 1 10
Log x
An extra row showing x as a power of 10 may be useful!
How is this graph linked to the graph of 𝑦= 10 𝑥 ?