Intro to Logs & Properties of Logs
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Last updated 12:24 AM on 1/30/23
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20 Terms
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Intro to Logarithms and Properties OT_LO_GaritBMS L
Think about it, How would we solve 2x = 6
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Directions
Evaluate
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Directions
Evaluate with a calculator
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X.
-3
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Examples
Use properties of logarithms
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Use properties to condense the expression
In 8 + 2 In 5 -In 10
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Practice
Complete the following
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a) lo l
/61/Ln.. .e b) log9 LrTw
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Log of y with Base b (log)
log↓b (y) = x
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log↓b (y) = x is the same as
b^x=y
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Common Log
log↓10 (y)
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log↓10 (y) is the same as
log(y)
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Natural Log
ln
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ln is the same as
log↓e
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Rewrite log↓2(32)=5 in exponential form
2^5=32
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Evaluate log↓3(81)
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Product Property
log↓b(mn) = log↓b(m) %%+%% log↓b(n)
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Quotient Property
log↓b(m/n) = log↓b(m) ∗∗−∗∗ log↓b(n)
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Power Property
log↓b(m^n) = ^^n^^log↓b(m)
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Change of Base Formula
log↓c(a) = ==log↓b(a)==/@@log↓b(c)@@