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 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 ...

In this section, you will: * Use like bases to solve exponential equations. * Use logarithms to solve exponential equations. * Use the definition of a logarithm to solve logarithmic equations. * Use ...

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

The power supply of a space satellite is by means of a radioisotope. The power output, in watts, is given by \({w_t} = {w_o}{e^{kt}}\) where \(t\) is the time in days. The power output at launch is 60 ...

Logarithms play an essential role in the world of mathematics. These functions help simplify complex calculations, primarily in the fields of engineering, physics, and computer science. Here are three ...

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 ...

The logarithm calculator, also known as the log calculator, is an efficient online tool designed to calculate the logarithmic value for a given base and number. Logarithms are the inverse operation of ...