where \(k\) and \(n\) are constants. Using logarithms, we can express \(y = k{x^n}\) in the form of the equation of a straight line \(y = mx + c\). Shown below is a straight line graph when ...

Exponential and logarithmic equations are fundamental in mathematics, crucial for understanding growth patterns, decay processes, and solving complex problems. This video provides a clear and ...

Logarithms are a common idea today ... was one of the people who worked out how logs could simplify many difficult equations. He created a table of 23,030 “red and black” numbers to nine ...

The pattern of growth is very close to the pattern of the exponential equation. which is kind of remarkable, because it says that the rate of growth of the log of the number in the population is ...

The above equation summarized the math behind the ... no likely groan at the memory of doing interpolation by hand from logarithm tables in high school math class. [Ihsan] has posted an MIT ...

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