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 ...

\({\log _a}a = 1\) (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 ...

This is a preview. Log in through your library . Abstract A logarithmic-exponential dual formulation is proposed in this paper for bounded integer programming problems. This new dual formulation ...

Watch this video to learn some useful ways to help you with calculating percentages: the number swap hack and the decimal multiplier hack. Calculating percentages is something you should be confident ...