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What is 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.

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 is the argument of a log?

The three parts of a logarithm are a base, an argument and an answer (also called power). ... In this function, the base is 2, the argument is 3 and the answer is 8. This exponential function has an inverse, its logarithm: In this logarithm, the base is 2, the argument is 8 and the answer is 3.

How do you find the inverse of a log?

STEP 1: Replace the function notation f (x) by y. STEP 2: Switch the roles of x and y. × y. y ×. STEP 3: Isolate the log expression on one side (left or right) of the equation. STEP 5: Solve the exponential equation for y to get the inverse.

What log value means?

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.

Can the argument of a log be negative?

So 0, 1, and every negative number presents a potential problem as the base of a power function. ... So in summary, because the base can only be a positive number, that means the argument of the logarithm can only be a positive number.

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