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What is the log of a number?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. Because. 102 = 100.

What does log stand for in math?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.

What is a log in math?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

What exactly is log?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.

How do you calculate logs?

Logarithm product rule. Logb(x × y) = logo(x) + logo(y) Logarithm quotient rule. Logb(x / y) = logo(x) — logo(y) Logarithm power rule. Logb(x y) = y A logo(x) Logarithm base switch rule. Logb(c) = 1 / logic(b) Logarithm base change rule. Logb(x) = logic(x) / logic(b) Logarithm — log(x) See also.

What is log10 equal to?

Mathematically, log10(x) is equivalent to log(10, x). See Example 1. The logarithm to the base 10 is defined for all complex arguments x 0. Log10(x) rewrites logarithms to the base 10 in terms of the natural logarithm: log10(x) = LN(x)/LN(10).

What exactly is a log?

a When you read that, you say “if a to the b power equals x, then the Log (or Logarithm) to the base an of x equals b.” Log is short for the word Logarithm.

What does the log of a number tell you?

The exponent says how many times to use the number in a multiplication. So a logarithm answers a question like this: In this way: The logarithm tells us what the exponent is!

What is the purpose of logarithms?

Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division. (This benefit is slightly less important today.)

How do you find the log of a number?

Multiply two numbers by adding their powers. For example: 102 × 103 = 105, or 100 × 1000 = 100,000. The natural log, represented by “LN”, is the base-e log, where e is the constant 2.718. This is a useful number in many areas of math and physics.

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