1
Laws of Logarithms Product Rule for LogsLog (mn) = Log (m) + Log (n)
Quotient Rule for LogsLog (m/n) = Log (m) Log (n)
Power Rule for LogsLog (mn) = n Log (m)
Rule for Equal Condensed LogsLoga (x) = Loga (y)∴ x = y
Change of Base FormulaLog 6 (36) = Log (36)
Log (6)
2
Product Rule for LogsLog (mn) = Log (m) + Log (n)
Ex: Simplify the following using the laws of Logarithms and evaluate.
Log6 (9) + Log6 (4) =
Ex: Write an equivalent expression in expanded form using the laws of Logarithms.
Log (3ab) =
3
Quotient Rule for LogsLog (m/n) = Log (m) Log (n)
Ex: Write an equivalent expression in expanded form using the laws of Logarithms.
Log4 (a/b) =
Ex: Simplify the following using the laws of Logarithms and solve for X.
Log7 (18) Log7 (X) = Log7 (6)
4
Power Rule for LogsLog (mn) = n Log (m)
Ex: Write an equivalent expression using the laws of Logarithms.
Log (X2) =
Ex: Write an equivalent expression using the laws of Logarithms.
Log
5
6
Combining Rules for Logs
Ex: Use the Laws of Logarithms to write an equivalent expression in expanded form.
Ex: If R = use the Laws of Logarithms to find Log (R).
7
Combining Rules for LogsEx: Use the Laws of Logarithms to write an equivalent expression in condensed form.
3Log2 (r) 2Log2 (s) =
Ex: Use the Laws of Logarithms to write an equivalent expression in condensed form.
8
Combining Rules for Logs
Ex: Use the Laws of Logarithms to write an equivalent expression.
Challenge
9
Homework is to complete the front and back of a worksheet writing equivalent expressions using the laws of logarithms
Don't do the numbers that are crossed out.
REVIEW FOR QUIZ !!
10
11
![Properties of Logarithms · 2017-05-08 · Holt McDougal Algebra 2 Properties of Logarithms The logarithmic function for pH that you saw in the previous lessons, pH =–log[H+], can](https://static.documents.pub/doc/80x56/5e715b260ebbdf33c468559d/properties-of-logarithms-2017-05-08-holt-mcdougal-algebra-2-properties-of-logarithms.jpg)
