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Common Logarithm

Description:

The common logarithm, symbolized as log₁₀, is a logarithm with a base of 10. It is widely used in mathematics, engineering, and sciences to simplify and analyze numerical calculations.

Senses and Usages:

Sense 1: Mathematics

In mathematics, the common logarithm refers to the logarithm to the base 10. It is denoted as log₁₀. It is frequently used to simplify calculations involving large or small numbers, as well as to solve exponential and logarithmic equations.

Sample Sentence:

When evaluating the common logarithm of 100, the result is 2, since 10 raised to the power of 2 equals 100.

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Sense 2: Science

Common logarithm is extensively utilized in scientific fields such as physics, chemistry, and biology. It aids in representing and analyzing data that vary over several orders of magnitude, such as pH levels, sound decibels, or earthquake magnitudes.

Sample Sentence:

The common logarithm is employed to convert sound pressure levels, measured in pascals, into sound levels measured in decibels.

Related Products:

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Sense 3: Engineering

In engineering, the common logarithm plays a vital role in various applications such as signal processing, circuit analysis, and acoustics. It aids in simplifying complex computations and facilitates precise measurements in logarithmic scales.

Sample Sentence:

The common logarithm is employed to calculate decibel levels and voltage gains in electronic circuits.

Related Products:

Find engineering calculators capable of performing logarithmic calculations on Amazon.