http://www.maths­bingo.com/A%20enviar/LogarithmsDetermine/LogarithmsDetermine.html
Revision from previous lesson:
Logarithms
By the end of the lesson you will be able to:
• Use the definition of logarithm to prove the 
laws for logarithms.
• Apply the laws for logarithms  to simplify 
expressions.
Exercise 4: Verify the following 
From worksheet:
log2 4 + log2 8 = log2 32
log3 9 + log3 3 = log3 27
log 100 + log 10 = log 1000
Find a general pattern for        loga x+loga y
Conclusion:
loga ( x y ) = loga x  + loga  y
Proof:
loga x = m
loga y = n
⇒
⇒
Use index form:
Exercise 4: Verify the following 
From worksheet:
log2 64 ­ log2 16 = log2 4
log3 81 ­ log3 3 = log3 27
log5 3125 ­ log5 125 = log5 25
Find a general pattern for        loga x ­ loga y
Conclusion:
Proof:
loga x = m
loga y = n
⇒
⇒
Use index form:
Exercise 4: Verify the following 
From worksheet:
Find a general pattern for      n loga x
Conclusion:
n loga  x  = loga x n
   
Proof:
loga x = m ⇒
Use index form:
Solve:
log 125 + log 8 =
2 log 5 + log 4 =
 
3 log3 2 +log3(½) ­ log3 4=
Ib maths sl logarithms laws
Ib maths sl logarithms laws
Solve Book page 60:  Ex  1 to 3 & 6 to 10
At the end of the lesson:
loga ( x y ) = loga x  + loga  y
n loga  x  = loga x n
   
http://www.maths­bingo.com/A%20enviar/Logarithms%20Write%20as%20a%20single%
20logs/LogarithmsWriteSingleLogs.html

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