Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 7

Laws of Exponents

 * $7.1$ Product of Powers


 * $7.2$ Quotient of Powers


 * $7.3$ Power of Power


 * $7.4$ Zeroth Power of Real Number equals One


 * $7.5$ Exponent Combination Laws: Negative Power


 * $7.6$ Power of Product


 * $7.7$ Root (Analysis)


 * $7.8$ Rational Power


 * $7.9$ Root of Quotient equals Quotient of Roots

Logarithms and Antilogarithms

 * Real General Logarithm


 * Base of Logarithm

Laws of Logarithms

 * $7.10$ Sum of Logarithms: General Logarithm


 * $7.11$ Difference of Logarithms


 * $7.12$ Logarithm of Power: General Logarithm

Natural Logarithms and Antilogarithms

 * Common Logarithm


 * Real Natural Logarithm

Change of Base of Logarithms

 * $7.13$ Change of Base of Logarithm


 * $7.14$ Change of Base of Logarithm: Base $10$ to Base $e$


 * $7.15$ Change of Base of Logarithm: Base $e$ to Base $10$

Relationship between Exponential and Trigonometric Functions

 * $7.16$ Euler's Formula: Real Domain


 * $7.16$ Euler's Formula: Real Domain (Corollary)


 * $7.17$ Sine Exponential Formulation: Real Domain


 * $7.18$ Cosine Exponential Formulation: Real Domain


 * $7.19$ Tangent Exponential Formulation:Formulation 2


 * $7.19$ Tangent Exponential Formulation: Formulation 3


 * $7.20$ Cotangent Exponential Formulation


 * $7.21$ Secant Exponential Formulation


 * $7.22$ Cosecant Exponential Formulation

Periodicity of Exponential Functions

 * $7.23$ Periodicity of Complex Exponential Function

Polar Form of Complex Numbers expressed as an Exponential

 * $7.24$ Exponential Form of Complex Number

Operations with Complex Numbers in Polar Form

 * $7.25$ Product of Complex Numbers in Exponential Form


 * $7.26$ Division of Complex Numbers in Exponential Form


 * $7.27$ De Moivre's Formula: Exponential Form


 * $7.28$ Roots of Complex Number: Exponential Form

Logarithm of a Complex Number

 * $7.29$ Complex Natural Logarithm