Logarithms slides 614 kho tài liệu bách khoa

How to Study Maths For IIT&JEE i Write and not read maths... How to Study Maths For IIT&JEE i Write and not read maths ii Try to apply using formulas /tricks given... How to Study Maths

My Introduction

At present I am Maths Faculty at ETOOS ACADEMY

Rank Produced by Etoos

How to Study Maths For

IIT&JEE

(i) Write and not read maths

How to Study Maths For

IIT&JEE

(i) Write and not read maths

(ii) Try to apply using formulas /tricks given

How to Study Maths For

IIT&JEE

(i) Write and not read maths

(ii) Try to apply using formulas /tricks given

(iii) Practice Practice Practice

How to Make Best use of the Course

Important points / formulas are highlighted

How to Make Best use of the Course

Important points / formulas are highlighted Complete Assignment before moving to next lecture

Phone Number +91 9214402666

Phone Number +91 9214402666

Phone Number +91 9214402666

Phone Number +91 9214402666

Logrithms Trigonometry Identities (Trigo – Ph1)

Quadratic Equation

Course Details

Quadratic Equation Sequence & Series Trigonometry Ph&2 (Trigonometry Equation)

Solutions Of Triangle (Trigo Ph&3)

Straight Lines and Pair of Straight Lines

Course Details

Straight Lines and Pair of Straight Lines

Circles Permutation & Combination

Derivability Method Of Derivative

Vectors 3D Geometry

Course Details

3D Geometry

Determinant

Matrics Probability

Complex No.

Differential Equation Area Under Curve

Course Details

Area Under Curve

Parabola Ellipse Hyperbola

≠≠≠≠ (not equal)

< (less than)

> (greater than)

≤≤≤≤ (less than or equal to)

≥ (greater than or equal to)

≥ (greater than or equal to) (((( ) (parentheses)

& (and)

… [ellipsis (and so on)]

∴ (therefore)

% (percent)

∈ (is a member of)

∉ (is not a member of)

⊂ (is proper subset of)

∃∃∃∃ (there exists)

∀ [(for all (universal quantifier)]

≅≅≅≅ (is equal to or)

⊆ (is subset of)

⊇ (is super set of)

⇔ (iff or implies and is implied by)

Basic Maths

! "! "

Basic Maths

! "! "

# $ % &

Basic Maths

! "! "

# $ % &

# '( # % )

Componendo & Dividendo

Additive Inverse,

Additive Identity,

Additive Inverse,

Additive Identity,

Multiplicative Inverse,

Additive Inverse,

Additive Identity,

Multiplicative Inverse, Multiplicative Identity

Set Theory

Classification of Sets

# # $ # #

Classification of Sets

Quadratic Equation

Inequalities

Important Algebraic

Formulas

) % ) - + / 0 /

Important Algebraic

Formulas

) % ) - + / 0 /

Number Theory

1 # 1 # 1/

Number Theory

Prime,

Composite,

Composite, Twin Prime,

Composite, Twin Prime, Co& Prime

Integers (I)

Rational Numbers (Q)

# 3 * ( #

Rational Numbers (Q)

Irrational Numbers

Real Numbers (R)

Complex Number (Z)

N W I Q R Z

Exponential Form

Logarithmic form

Log a N is defined when N > O, a > o, a 1

Logarithm Form

4 * 5 #

6

Logarithm Form

4 * 5 #

6

Logarithm Form

4 * 5 #

6

Logarithm Form

4 * 5 #

6

Logarithm Form

4 * 5 #

6

Logarithm Form

Fundamental Logarithm Identity

3 Important Deductions

Examples

Find values :

Find values :

Find values :

Find values :

$ 6

# $7* /

Examples

89 ): )! ;<

Solve :

Examples

Solve :

Examples

Antilog/Power form

It must be noted that whenever the number and the base are on the same side of unity then logarithm of that number to that base is (+ve), however if the number and the base are located on different side of unity them logarithm of that number to that base is (&ve)

Examples

Principal Properties of Log.

Note

Example

Base Change Theorem

) / ;/. ;>/ 0 //- :!

) / ;/. ;>/ 0 //- :!

)

) / ;/. ;>/ 0 //- :!

)

Trichotomy

For A Non Negative Number

‘a’ & N > 2, n N

Logrithmic Equations

Examples

Taking Log Both Sides

Solve for

Taking Log Both Sides

Solve for

Solve for

Taking Log Both Sides

Let be the solution of the following equations

Then is

[JEE 2011,3]

Common and

Natural Logarithm

Characteristic & Mantissa

Standard form of a positive number

Examples on Characteristic

& Mantissa

Examples on Characteristic

& Mantissa

Examples on Characteristic

& Mantissa

Modulus (Absolute Value Function)

Examples on Modulus

Solve for

Examples on Modulus

(a)

Solve for

5 4 7

More Examples on Modulus

More Examples on Modulus

Log Inequalities

Assignment Prilepko (Page No.92&93)

Examples

Solve Sheet

To Attain IIT&Level