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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(?)???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
???
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20logs/LogarithmsWriteSingleLogs.html

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