A logarithm is a mathematical function that is the inverse of exponentiation. It represents the power to which a base number must be raised to equal a given number.
To solve a basic logarithmic problem, you can use the logarithm rules, which include the product rule, quotient rule, power rule, and change of base rule. You can also use a calculator or logarithm table to find the solution.
Logarithms and exponents are inverse operations of each other. While exponents represent repeated multiplication, logarithms represent repeated division. Logarithms are useful for solving problems involving large numbers or exponential growth.
Logarithms are used in various fields, such as finance, biology, and engineering. They can be used to model population growth, measure the intensity of earthquakes, calculate pH levels, and more.
The base of a logarithm is the number that is raised to a power in order to produce a given value. For example, in the logarithm log28 = 3, 2 is the base and 3 is the power.