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Logarithms are used in the royal navy in sonars

They are but it's far wider than that.

The application you mean is the "decibel", the 10X or 20X logarithm of the ratio of two signal intensities or powers - not just in military and commercial sonar, but in acoustics generally, and in electrical engineering such as amplifier design.

The Richter scale and the magnitude scale of star brightness are logarithmic. Common and hyperbolic logarithms crop up in many places - the latter control the expansion or compression of gas in an engine or compressor cylinder, for example.

Exponents also facilitate handling very large & very small numbers by turning them into multiples of plus or minus powers of 10.

Q: What are some real life application of exponents and logarithms?

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The Richter Scale of energy release in an Earthquake.

There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.

The basic operations are addition (+), subtraction (-), multilpication (*) and division (/). But there are many others, for example, powers and roots, trigonometric functions, exponents and logarithms.

Application of definitApplication of definite Integral in the real life

Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.

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The Richter Scale of energy release in an Earthquake.

There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.

There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.

The basic operations are addition (+), subtraction (-), multilpication (*) and division (/). But there are many others, for example, powers and roots, trigonometric functions, exponents and logarithms.

Application of definitApplication of definite Integral in the real life

In real life application, isometric drawing is used in the design of the video games.

Scientific notation is a way to write very large or very small numbers using exponents. For example 2000 is 2x103 . We can do the same thing with negative exponents and write very small numbers like 1/2000 which is 2x10-3 . So one real life use of exponents in in scientific notation.

it deals with bank accounts and interest (compounding interest)

A rational exponent is an exponent in the form of a fraction. Many financial formulas use rational exponents. Compound interest is formula that uses rational exponents.

There are no real life applications of reciprocal functions

in real life what are applications of alanlytical geometry

What are the Applications of definite integrals in the real life?