Lesson 7.4.notebook
January 04, 2012
Lesson 7.4 Properties of Logarithms
Lesson 7.4
The children of Israel wanted bread, And the Lord sent them manna, Old clerk Wallace wanted a wife, And the Devil sent him Anna.
­­ England Tombstone
Lesson 7.4.notebook
Properties of Base­10 Logarithms
Definition log x = y iff 10 y = x
A. log (xy) = log x + log y
B. log (x / y) = log x ­ log y
C. log x y = y log x
January 04, 2012
Lesson 7.4.notebook
January 04, 2012
Use the properties of logarithms to write the expressions below as single logarithms with base 10.
3. 3( log 20 − log 4 ) − (log 3 + 2 log5) 2(log 3 + log x) – 2(log 5 + 3 log y)
Lesson 7.4.notebook
log 64 = _____ log 4
log 2000 – log 40 – log 2 = 2 log ______
January 04, 2012
Lesson 7.4.notebook
Solve for x: 3x + 1 + 3x + 3x ‐ 1 = 39
Solve for x: log(x – 1) = log(6) ‐ log(x)
January 04, 2012
Lesson 7.4.notebook
January 04, 2012
Assignment: p. 319 – 321 QR 1 – 10, 1 – 47 odd