What is logarithm and its uses?

A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Logarithms are used for Measuring the magnitude of earthquakes. Logarithms are used for measuring the noise levels in dBs (decibels). They are used to measure the pH level of chemicals. Logarithms are used in radioactivity, mainly to detect the half life of a radioactive element.

Logarithm, The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b^X = n, in which case one writes x = log_B N. For example, 2³ = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log₂ 8.

Using Logarithmic Functions

Much of the power of logarithms is their usefulness in solving exponential equations. Some examples of this include Sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

He coined a term from the two ancient Greek terms logos, meaning proportion, and arithmos, meaning number; compounding them to produce the word “logarithm.” Napier used this word as well as the designations “natural” and “artificial” for numbers and their logarithms, respectively, in his text.

Types of logs

• Resistivity and spontaneous (SP) logging. Electrode resistivity devices. Induction logging. …
• Acoustic logging. Cement bond logs.
• Nuclear logging. Gamma ray logs. …
• Nuclear magnetic resonance (NMR) logging.
• Mud logging.
• Sonic logging.
• Specialty logs. Openhole caliper logs. …
• Production logging. Temperature logging.

The value of log base 10, which is also known as the common logarithm, is The logarithm with a base equal to 10. The value of the common logarithm of 10 is equal to 1.

Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.

What is another word for logarithm?

Two kinds of logarithms are often used in chemistry: Common (or Briggian) logarithms and natural (or Napierian) logarithms. 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…….)

Laws of logarithms

These laws can be applied on any base, but during a calculation, the same base is used. Example: Log ₂ 5 + log ₂ 4 = log ₂ (5 × 4) = log ₂ 20. log ₁₀ 6 + log ₁₀ 3 = log ₁₀ (6 x 3) = log ₁₀ 18.