Studied by 3 peopleIntro to Logarithms and Properties OT_LO_GaritBMS L
Think about it, How would we solve 2x = 6
Directions
Evaluate
Directions
Evaluate with a calculator
X.
-3
Examples
Use properties of logarithms
Use properties to condense the expression
In 8 + 2 In 5 -In 10
Practice
Complete the following
a) lo l
/61/Ln.. .e b) log9 LrTw
Log of y with Base b (log)
log↓b (y) = x
log↓b (y) = x is the same as
b^x=y
Common Log
log↓10 (y)
log↓10 (y) is the same as
log(y)
Natural Log
ln
ln is the same as
log↓e
Rewrite log↓2(32)=5 in exponential form
2^5=32
Evaluate log↓3(81)
4
Product Property
log↓b(mn) = log↓b(m) + log↓b(n)
Quotient Property
log↓b(m/n) = log↓b(m) - log↓b(n)
Power Property
log↓b(m^n) = nlog↓b(m)
Change of Base Formula
log↓c (a) = log↓b(a)/log↓b(c)
Note
Flashcard