BONUS: Mathematical Operations and FunctionsSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Logarithmic and Natural Logarithmic Functions

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Logarithmic and natural logarithmic functions of numbers. 

Logarithmic Functions

The logarithmic base 10 form represents the exponent that 10 must be raised in order to obtain that specific number. 

Concept #1: Logarithmic Functions

Example #1: Logarithmic Functions

Example #2: Logarithmic Functions

Inverse Logarithmic Functions

The inverse or anti-logarithmic function is the opposite of the logarithmic function. 

Concept #2: Inverse Logarithmic Functions

Natural Logarithmic Functions

The natural logarithmic function ln is the exponent to which e must be raised to determine that number. 

Concept #3: Natural Logarithmic Functions

Logarithmic Relationships

The similarities between logarithmic and natural logarithmic functions are outlined below. 

Concept #4: Logarithmic Relationships