U2A L07B Solving Logarithmic Equations.notebook
Unit 2 Modeling With Functions
U2A L07B Solving Log Equations
WIMD: What I must do:
I will solve and simplify equations containing logarithms
Key words:
base
exponent
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
March 15, 2017
Natural Logarithm
logey = x
ln(y) = x
(y = ex)
Except for a change of base to b=e, all the rules and properties of logarithms still apply.
U2A L07B Solving Logarithmic Equations.notebook
March 15, 2017
Using a calculator and the properties of exponents, evaluate the following:
1 Answer?
x = ± 20
U2A L07B Solving Logarithmic Equations.notebook
March 15, 2017
Change of Base Formula
log a n = log b n / log b a
Ex: log91043 = log1043 / log9
You try:
log5(x) = log(2)
2 Answer?
(round to the nearest
thousandth)
x = ~ 1.623
U2A L07B Solving Logarithmic Equations.notebook
11.4B­11.6 Drill
Grade: «grade»
Subject:«subject»
Date:«date»
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
1
Find x:
log4(2x+11) = log4(5x­4)
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
2
Find all x:
log 11 x + log 11 (x+1) = log
A
B
C
D
E
F
2
5
5/2
­3
no solution
none of the above
March 15, 2017
11
6
U2A L07B Solving Logarithmic Equations.notebook
3
Find b:
logb15625(1/6) = ­1/3
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
4
Find x:
log10 (2x+5) = log 10 (5x­4) March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
5
Find x:
log3(4x+5) ­ log 3(3­2x) = 2
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
6
Evaluate the expression:
log5(1/5)
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
7
Evaluate the expression:
log3(27)
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
8
Solve the equation:
log3(y)=4
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
9
Evaluate the expression:
log36 (6)
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
10
Solve the equation:
log5(r) = log58
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
11
Solve the equation:
log5(35) ­ log 5(d) = log55
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
12
Solve the equation:
log4(4)(1/2) = x
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
13
Solve the equation:
log4(2x+3) = log 415
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
14
Solve the equation:
4log82 + (1/3)log 827 = log 8a
March 15, 2017
U2A L07B Solving Logarithmic Equations.notebook
March 15, 2017
Finish the Aleks HW Assignment from the previous nights.
Attachments
Glencoe Pre­Calc on line quizzes
cash_register_x.wav
Glencoe Pre­Calc on line quizzes
Glencoe Pre­Calc on line quizzes