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Chapter 8
section 8.3 & 8.4
Producer: Shahrooz Yousefi, Seat#25
MHF4U-B1/Advanced function 12
Mrs.Duario
“
I’m here to present
Chapter 8 sections 3 & 4
today
Ready??
2
8.3
Whoa! That’s the section number, aren’t you
interested?
3
Success criteria( We can now)
➜ Relate logarithmic functions to
exponential functions
➜ Describe the characteristics of
logarithmic functions and their graphs
➜ Evaluate logarithms and simplify
logarithmic expressions
➜ Solve exponential and logarithmic
equations
➜ Use exponential and logarithmic
functions to solve problems involving
exponential growth and decay, and
applications of logarithmic scales
Leaning goals (we’ll be able
to…)
➜ Relate logarithmic functions to
exponential functions
➜ Describe the characteristics of
logarithmic functions and their
graphs
➜ Evaluate logarithms and simplify
logarithmic expressions
➜ Solve exponential and logarithmic
equations
➜ Use exponential and logarithmic
functions to solve problems
involving exponential growth and
decay, and applications of
logarithmic scales
4
Brief Summery of 8.3 & 8.4
5
Big concept
What is Logarithm?
In mathmatics, the logarithm is the inverse
function to exponentiation.
6
1.Evaluate log6 1
Let’s start with the first question
2.Evaluate log5 5𝑥
3.Determin the approximate value
of log5 47
8.4
Whoa! That’s the section number, aren’t you
interested?
10
Success criteria( We can now)
➜ Relate logarithmic functions to
exponential functions
➜ Describe the characteristics of
logarithmic functions and their graphs
➜ Evaluate logarithms and simplify
logarithmic expressions
➜ Solve exponential and logarithmic
equations
➜ Use exponential and logarithmic
functions to solve problems involving
exponential growth and decay, and
applications of logarithmic scales
Leaning goals (we’ll be able
to…)
➜ Relate logarithmic functions to
exponential functions
➜ Describe the characteristics of
logarithmic functions and their
graphs
➜ Evaluate logarithms and simplify
logarithmic expressions
➜ Solve exponential and logarithmic
equations
➜ Use exponential and logarithmic
functions to solve problems
involving exponential growth and
decay, and applications of
logarithmic scales
11
Big concept
Laws of Logarithm?
➜ Product law
➜ Quotient law
➜ Power law
12
Q1:Determin an equivalent ex[ression for log4 MN where a, and
m, and n are positive nums. And a≠1
13
Q2: determin an
equivalent expression for
log4
𝑚
𝑛
where a, and m,
and n are positive nums.
And a≠1
14
Laws of logarithm
Q2: determin an
equivalent expression for
log4 𝑀𝑛 where a, and m,
and n are positive nums.
And a≠1
15
Laws of logarithm
Thank you. 16

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IPP individual.pptx

  • 1. Chapter 8 section 8.3 & 8.4 Producer: Shahrooz Yousefi, Seat#25 MHF4U-B1/Advanced function 12 Mrs.Duario
  • 2. “ I’m here to present Chapter 8 sections 3 & 4 today Ready?? 2
  • 3. 8.3 Whoa! That’s the section number, aren’t you interested? 3
  • 4. Success criteria( We can now) ➜ Relate logarithmic functions to exponential functions ➜ Describe the characteristics of logarithmic functions and their graphs ➜ Evaluate logarithms and simplify logarithmic expressions ➜ Solve exponential and logarithmic equations ➜ Use exponential and logarithmic functions to solve problems involving exponential growth and decay, and applications of logarithmic scales Leaning goals (we’ll be able to…) ➜ Relate logarithmic functions to exponential functions ➜ Describe the characteristics of logarithmic functions and their graphs ➜ Evaluate logarithms and simplify logarithmic expressions ➜ Solve exponential and logarithmic equations ➜ Use exponential and logarithmic functions to solve problems involving exponential growth and decay, and applications of logarithmic scales 4
  • 5. Brief Summery of 8.3 & 8.4 5
  • 6. Big concept What is Logarithm? In mathmatics, the logarithm is the inverse function to exponentiation. 6
  • 7. 1.Evaluate log6 1 Let’s start with the first question
  • 9. 3.Determin the approximate value of log5 47
  • 10. 8.4 Whoa! That’s the section number, aren’t you interested? 10
  • 11. Success criteria( We can now) ➜ Relate logarithmic functions to exponential functions ➜ Describe the characteristics of logarithmic functions and their graphs ➜ Evaluate logarithms and simplify logarithmic expressions ➜ Solve exponential and logarithmic equations ➜ Use exponential and logarithmic functions to solve problems involving exponential growth and decay, and applications of logarithmic scales Leaning goals (we’ll be able to…) ➜ Relate logarithmic functions to exponential functions ➜ Describe the characteristics of logarithmic functions and their graphs ➜ Evaluate logarithms and simplify logarithmic expressions ➜ Solve exponential and logarithmic equations ➜ Use exponential and logarithmic functions to solve problems involving exponential growth and decay, and applications of logarithmic scales 11
  • 12. Big concept Laws of Logarithm? ➜ Product law ➜ Quotient law ➜ Power law 12
  • 13. Q1:Determin an equivalent ex[ression for log4 MN where a, and m, and n are positive nums. And a≠1 13
  • 14. Q2: determin an equivalent expression for log4 𝑚 𝑛 where a, and m, and n are positive nums. And a≠1 14 Laws of logarithm
  • 15. Q2: determin an equivalent expression for log4 𝑀𝑛 where a, and m, and n are positive nums. And a≠1 15 Laws of logarithm