Question: How many 2s do we multiply to get 32?ĥ number 2s must be multiplied to obtain the number 32. To understand how the concept works, here's an example with a smaller number: The number obtained (x) is written in the parenthesis.The number of times it is multiplied (y) is the logarithm.The number multiplied to itself (b) is the base.It can simplify large sums that involve long and confusing equations, making them easier to grasp. Whether it concerns counting a lot of money, the growth of populations, or covering large distances, log can work for you. Once you start calculating figures by millions, billions and trillions, it can get quite taxing. Log(1000), it's known as a common logarithm that uses the base 10.

If a logarithm does not specify a base, like this example: log(1000), it's known as a common logarithm that uses the base 10. The natural logarithm of a number is its log to the base of the constant e, where e is approximately equal to 2.718281828459.

Napier coined the term logarithm from the Greek word logos which means ‘ratio or proportion,' and arithmos which means ‘number.' When combined, it literally means ‘ratio number.' 2 Types of Logarithms He wrote the book Mirifici Logarithmorum Canonis Descriptio with tables and numbers discussing natural logarithms, laying down the groundwork for its basic concept. Log was invented in the 16 th century as a calculation tool by Scottish mathematician, physicist and astronomer, John Napier. Logarithm counts the number of times the same factor must be multiplied to arrive at a given number. How many times do we multiply b to obtain another number y? In simpler terms, logarithm solves the problem: What is Logarithm?Ī logarithm is the power to which a number (referred to as the base) must be multiplied to itself to obtain a given number. Read on to learn more about log and antilog, how they work, and why these are relevant mathematical concepts. But with the help of logarithms (log) and antilogarithms (antilog), calculations can be made simpler. If you've ever wondered how experts determine great distances, earthquake intensity, and global economic growth rates, then you've come to the right place.Ĭalculating very large sums can be slow and confusing. Logarithms and Anti-Logarithms: How It Works and Its Significance

Log calculator base 2