A logarithm is a function that undoes the effect of another function. In simpler terms, it tells you the input value (x) that corresponds to the output value (y...
A logarithm is a function that undoes the effect of another function. In simpler terms, it tells you the input value (x) that corresponds to the output value (y) of the function.
To calculate the logarithm of a number y with respect to a base b, we need to solve the equation logb(y) = x. This means that y = bx.
The base b of the logarithm is the same as the exponent in the exponential function. Logarithm is also called the inverse exponential function.
For example, if we have log3(9) = 2, it means that 9 = 32. This implies that x = 2 in the equation x = logb(y).
Logarithms have a wide range of applications in mathematics, including solving exponential equations, finding the inverse function of exponential functions, and understanding the properties of functions