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


 * $7.7$ Definition:Root (Analysis)


 * $7.8$ Definition:Power (Algebra)/Rational Number


 * $7.9$ Root of Quotient equals Quotient of Roots

Logarithms and Antilogarithms

 * Definition:General Logarithm/Positive Real


 * Definition:Logarithm/Base

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

 * Definition:General Logarithm/Common


 * Definition:Natural Logarithm/Positive Real/Definition 2

Change of Base of Logarithms

 * $7.13$ Change of Base of Logarithm


 * $7.14$ Change of Base of Logarithm/Base 10 to Base e/Form 1


 * $7.15$ Change of Base of Logarithm/Base e to Base 10/Form 1

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

 * $7.24$ Definition:Complex Number/Polar Form/Exponential Form

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

 * $7.29$ Definition:Natural Logarithm/Complex/Definition 1