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# How do you use logarithms to perform multiplication?

Updated: 11/3/2022

Wiki User

13y ago

If you take two values A and B, the rules of logs imply:

A * B = log A + log B = log (A+B)

To put it simply you find the of the two values, sum them and then find the value of the resulting log.

and addition is generally easier to perform than multiplication so the result of the logs can be added together. It was used more frequently before the use of pocket calculators and people used tables of logarithms to do multiplication.

Wiki User

13y ago

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Q: How do you use logarithms to perform multiplication?
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Related questions

### Are logarithms and anti logarithms same?

No, they are opposites, just like multiplication and division are opposites.

### What are logarithm tables used for?

Logarithm tables help you work with logarithms without using a calculator. Calculating a logarithm can be a long process. A table eliminates the need to perform extra math. If you need a specific logarithm, you simply look it up. The calculator was invented in the 1970's. Before that, people used slide rules or tables of logarithms. Using the tables of logarithms, you could perform multiplication, division, find roots or powers - and do all of that fairly easily.

### How can logarithms relate to everyday living?

Before the invention of the calculator, people needed to perform math by hand. Using tables of logarithms greatly sped up the common tasks of multiplication, division, powers and roots. Today, people use devices or scales that are based on logarithms. Music volume is based on a logarithmic scale. Every time you turn the volume up, you are doing something based on logarithms. Earthquakes are based on a logarithmic scale. Every time that you hear about an earthquake on the news, the earthquake is described in reference to a scale based on logarithms. Earthquakes happen daily all over the world.

### How can logarithms relate to everyday?

Before the invention of the calculator, people needed to perform math by hand. Using tables of logarithms greatly sped up the common tasks of multiplication, division, powers and roots. Today, people use devices or scales that are based on logarithms. Music volume is based on a logarithmic scale. Every time you turn the volume up, you are doing something based on logarithms. Earthquakes are based on a logarithmic scale. Every time that you hear about an earthquake on the news, the earthquake is described in reference to a scale based on logarithms. Earthquakes happen daily all over the world.

### What table has no legs?

A table of logarithms, multiplication table, table salt, Table Mountain.

### What functions could the Mechanical calculators perform?

Mechanical calculators could perform basic arithmetic functions such as addition, subtraction, multiplication, and division. They could also perform more complex calculations such as square roots and logarithms depending on the model and design. Mechanical calculators were used before electronic calculators became prevalent.

### How are logarithms used in electrical engineering?

Electrical engineers use logarithms to work on signal Decay.

multiply

### What is mathematical operation?

It is a functional relationship which has an input and an output. Addition, subtraction, multiplication, division, reciprocals, exponentials, logarithms are all examples.

### Why do pupils have to learn about logarithm so much if it has become almost unnecessary in practice since everybody has and uses modern calculators?

Nobody needs to learn how to use logarithms to perform arithmetic, however, logarithms are still a significant part of mathematical theory, and you can do many other things with them, aside from arithmetic.

### What John Napier invented in 1614?

John Napier is best known as the discoverer of logarithms. He was also inventor of Napier's Bones. Which were multiplication tables written on strips of wood or bones. The invention was used for multiplying, dividing, and taking square roots and cube roots. He also made common the use of the decimal point in math.

### What is the advantage of using logarithms?

Logarithms turn multiplication into addition, which is much faster. The same applies for division, except that the logs are subtracted. Using logarithms, finding roots or powers is easy. For example, the square root of a number can be found using 1/2 times the logarithm (plus one more step). Finding square roots is something that happens often in algebra. If you did not have a calculator, square roots would be hard without logarithms.