FAQ: What Is The Meaning Of The Log Of A Number?

What log means?

In algebra, “log” is short for “logarithm.” Logarithms are the opposites, or inverses, of equations involving exponents, like y = x^3. In their simplest form, logs help to determine how many of one number must be multiplied to obtain another number.

Why do we find log of a number?

The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number. The power to which the base e (e = 2.718281828.) must be raised to obtain a number is called the natural logarithm (ln) of the number. Rearranging, we have (ln 10)/(log 10) = number.

How do you find the log of a number?

Understand what a logarithm is.

  1. Multiply two numbers by adding their powers. For example: 102 * 103 = 105, or 100 * 1000 = 100,000.
  2. 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.

What does the word log mean in math?

Logarithm, the exponent or power to which a base must be raised to yield a given number. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8. In the same fashion, since 102 = 100, then 2 = log10 100.

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What is a log used for?

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number.

Why are Logarithms useful in real life?

Real Life Examples of Logarithms (in Everyday Life) The Richter Scale for earthquakes is a classic example of a logarithmic scale in real life. Decibels, light intensity and and pH (as in, my pool water testing kit) are all well-known logarithmic scales.

What is log10 equal to?

The value of log1010 is equal to 1. The value of loge10 which can also be written as ln (10) is 2.302585.

How do you find the log and antilog value?

Logarithmic Laws and Properties log b x y = p + q = log b x + log b y. The division of the two numbers is the antilog of the difference of logarithm of the two numbers. The base should be the same for both the numbers. a p = x = b q, and a r = b.

How do you remember log values?

Below I have mentioned some useful ways to find the logarithm of numbers:

  1. log 2 = 0.3010.
  2. log 3 = 0.4771.
  3. log 7 = 0.8451.
  4. log e = 0.693.
  5. Learn the above 4 logarithms.
  6. log (ab) = log a + log b -> first logarithm identity.
  7. log (a/b) = log a – log b -> second logarithm identity.
  8. log (a^b) = b loga -> third logarithm identity.

How do you use the log function?

Logarithms are ways to figure out what exponents you need to multiply into a specific number. For example, using the “Log” function on the number 10 would reveal that you have to multiply your base number of 10 by itself one time to equal the number 10.

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What does the word log mean in Greek?

The Greek root word log means ‘word,’ and its variant suffix -logy means ‘study (of). ‘ Some common English words that use this root include biology, mythology, catalog, and prologue. Biology, of course, is the ‘study’ of life, whereas a prologue constitutes the ‘words’ spoken to introduce a poem or novel.

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