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Exponential and Logarithmic
Functions and Equations
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Rules and properties of logarithms
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Natural logarithm, common logarithm
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Changing the base – different
logarithmic identities
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Changing the base – different
logarithmic identities
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Using
the identity |
![](LogIdent1.gif) |
![](LogIdent2.gif) |
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In
a similar way |
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![](LogIdent4.gif) |
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![](LogIdent5.gif) |
therefore, |
![](LogIdent6.gif) |
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Similarly, |
![](LogIdent7.gif) |
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and |
![](LogIdent8.gif) |
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Example:
If log 2
x
= 7 then log
4 2x = ?. |
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Example:
If a
= log 10 2 then
log 10 25
= ?. |
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Example:
Find the value of the expression |
![](LogProb3.gif) |
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Example:
Find the value of the expression |
![](LogProb4.gif) |
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Example:
Find the value of the expression |
![](LogProb5.gif) |
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Example:
If a
= log 5 and b = log 3
then log
30 8 = ?. |
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Example:
Find the value of the expression |
![](LogProb7.gif) |
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