Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

Exponential equations are mathematical expressions that involve exponentials, which have the form of a number raised to a power. These types of equations can appear challenging, but with the right ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

Before you get started, take this readiness quiz. Solve: x2=16. In the section on logarithmic functions, we solved some equations by rewriting the equation in exponential form. Now that we have the ...

Larson's COLLEGE ALGEBRA is known for its reliable, reader-friendly explanations of mathematical concepts and helpful exercises that prepare students for further study in math. The Tenth Edition ...