Name: Knowunity
Brand: Knowunity

English (US)

https://content-eu-central-1.knowunity.com/CONTENT/WntxVupPaFedyUECOEqe_COMPRESSED.pdf

Presentation

Chelsea

United States of America

DEFAULT

Algebra 2

intro to logs

Logarithms

The change of base formula for logarithms

10.3 Intro to Logs
warm up: Complete the following tables. (Turn all
decimals into fractions by hitting math enter enter.)
2² 4 3² 9
4² 14
5² 25
23 8
33³ 27
43 64
53 125
34 81
44 256
54 625
3-2 19
5-² 1/25
3-3 1/27
3-4%81
24 16
2-² 14
2-318
24/16
4-²116
4-3/64
4-4 //2510
5-3 12
5-4625
March 20, 2019
125
NAAAAAAAA
1 10.3 Intro to Logs
Algebra 2: 10.3
TOPIC Introduction to Logarithms
First
Last
Essential Question: HOW can we use Properties of Logarithms and ?
exponential functions to simplify Problems?
Keywords Summary:
Vocabulary:
Exponential
Equation
34 = 81
6¹-6
x = 1
5²- 12/15
3* = 5
83
b²=y²
logby=x
FM
Middle Example 1: Convert each exponential equation to logarithmic form and each logarithmic
equation to exponential form.
Date:
Logarithm of Base b
Logarithm of 1
Exponential Equation
Logarithmic Form
109381=4
0 = 1
Toque
109x1=0
109 525=-2★ 100, 3-1
log,
log₁51 = 0
lug35=X★
| 10984 = 3²/32
Logarithmic
Equation
log, 9 = 2
Logarithmic Equation
L
log, 8 = 3
1
6
log
= -1
lo 9-1/2
9=
March 20, 2019
Special Properties of Logarithms
Logarithmic Form
109,b=1
109,1=0
Chapter 10
Exponential Form
b=b
bo=1
Exponential Form
3²=9
x³=8
6₁ = +₂
3=3
15⁰=1
81²2=9
Example
log=5=11
logio 1=D
2°=1
7'=7
2 10.3 Intro to Logs
Algebra 2: 10.3
If not
Specified,
then
base = 10
Example 2: Simplify using the special properties of logarithms.
a. log₁0 10 =
b. log₂ 2.
c. log₁6 1 =
d. log₁6 16 =
e. log, 1 =
Example 3: Evaluate.
3
a.
a. log1000 =
b. log0.00001 =
b.
c. log, 16 =
1
d. log4 16
Example 4: Solve.
log5 25= x
o
alpha, window
-5
2
-2
logx 7 = 1
X'=7
X =
Example Simplify.
X =
Date:
2
z
C. log3(x - 5) = 2
3²-x-5
x=14
9=x.
e.
f. log, 25√5 =
g.
log, 4 =
60₁1--2
5/2
3/3
log, √49 =
مات
d. log 6=
(JX)= (L)²
e. Jeg 32= 3x
5-3x5
Jeg 64 = 3
3515²-=-964
March 20, 2019
Chapter 10
x=36
*=
luge 25 exponent
ponent
25
5/3
X=
b=4
32₂ 10.3 Intro to Logs
practice:
raci
2, 4, 6, 8, 10, 12,
14, 19, 23, 24
March 20, 2019
4

intro to logs

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intro to logs

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

13 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying