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In this video we gonna discuss on GRADE 10 Math Unit 3 Part 1 || EXPONENTIAL AND LOGARITHMIC FUNCTIONS - Ethiopian New Curriculum
3.1 Exponents and Logarithms
Exercise 3.1














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GRADE 10 Math Unit 3 Part 1 || EXPONENTIAL AND LOGARITHMIC FUNCTIONS - Alpha Ethiopian Education New Curriculum

Unit Contents
3.1 Exponents and Logarithms
3.2 The Exponential functions and Their Graphs
3.3 The Logarithmic Functions and Their Graphs
3.4 Relation between Exponential and Logarithmic Functions
3.5 Applications
Summary
Review Exercise

✓ exponential equation ✓ mantissa
✓ logarithm of a number
✓ logarithmic equation
✓ base ✓ logarithm ✓ natural logarithm
✓ characteristics ✓ exponential function ✓ power
✓ common logarithm ✓ l o garithmic equation ✓ Asymptote
✓ exponent ✓ logarithmic function ✓ antilogarithm

3.1 Exponents and Logarithms
Laws for Integer Exponents
The Rational Exponent
Irrational Exponents
Exercise 3.1, Exercise 3.2, Exercise 3.3, Exercise 3.4, Exercise 3.5, Exercise 3.6, Exercise 3.7, Exercise 3.8, Exercise 3.9, Exercise 3.10, Exercise 3.11, Exercise 3.12, Exercise 3.13, Exercise 3.14, Exercise 3.15, Exercise 3.16, Exercise 3.17, Exercise 3.18, Exercise 3.19, Exercise 3.20, Exercise 3.21, Exercise 3.22, Exercise 3.23, Exercise 3.24, Exercise 3.25, Exercise 3.26, Exercise 3.27, Exercise 3.28, Exercise 3.29, Exercise 3.30, Exercise 3.31, Exercise 32, Exercise 3.33, Exercise 3.34, Exercise 3.35

3.1.2 Logarithms
Properties of logarithms
Laws of logarithms
Logarithms of powers
Logarithms of quotients
Logarithms to Base 10 (Common Logarithms)
Antilogarithms
Computation with Logarithms

3.2.2 Graph of Exponential Functions
3.2.3 The Natural Exponential Function

3.3 The Logarithmic Functions and Their Graphs
3.3.1 The Logarithmic Functions
3.3.2 Graphs of Logarithmic Functions
3.3.3 Natural Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.4.1 Solving Exponential Equations
3.4.2 Solving Logarithmic Equations
3.5 Relation Between Exponential and Logarithmic Functions with the Same Base
3.6 Applications
3.6.1 Compound Interest
Compound interest
3.6.2 Population Growth
3.6.3 The pH Scale














































2.1 Definition of Polynomial Function
2.2 Operations on polynomial functions
2.3 Theorems on polynomials
2.4 Zeros of a polynomial function
2.5 Graphs of polynomial functions
2.6 Applications
✓ Linear function ✓ Domain
✓ Location Theorem ✓ Turning point
✓ Zero(s) of polynomial ✓ x-intercept
✓ Remainder theorem ✓ Polynomial Division Theorem ✓ y-intercept
✓ Factor theorem ✓ Polynomial Function ✓ Multiplicity
✓ Leading Coefficient ✓ Rational root test ✓ Degree
✓ Constant function ✓ Constant term
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