Introduction to logarithms and how to use them in equations

A logarithm is a mathematical operation that is the inverse of exponentiation. In other words, it is a way to undo an exponent. The logarithm of a number x to base b is written as logb(x) and is defined as the exponent to which the base b must be raised to produce the number x. For example, if we have the equation b^y=x, then the logarithm of x to base b is equal to y. One of the main uses of logarithms is to solve equations that involve exponential functions. For example, suppose we have the following equation: 3^x = 9 To solve this equation using logarithms, we first rewrite the equation in logarithmic form by taking the logarithm of both sides: log3(3^x) = log3(9) Since the logarithm of any number to the base that the number itself is raised to is equal to 1, we can simplify the left side of the equation: x * log3(3) = log3(9) Since the logarithm of a number to the base that the number itself is equal to is equal to 0, we can simplify the right side of the equation: x * 1 = 0 Finally, we can solve for x by dividing both sides of the equation by 1: x = 0 Therefore, the solution to the equation 3^x = 9 is x = 0.