In other words, the logarithm is a quantity representing the power to which a fixed number called the base must be raised to produce a given number. The logarithm is the inverse operation to exponentiation. Some people even think that logarithmic values more related to the era of slide rules than to the modern digital world. Looks convenient? Yes, but not to everyone! Actually, all people who are not mathematically or technically inclined can be easily confused when dealing with quantities expressed in logarithmic units like decibels. At the same time, the sound power of quiet conversation is 0.000000001 W or 30 dB SWL. For example, the sound power of a Saturn V rocket is 100,000,000 W or 200 dB SWL (dB referenced to the sound power level 10⁻¹² W, it is described below). Logarithmic units allow representing a very large range of ratios by a small convenient number similar to scientific notation. The sound power of a Saturn V rocket is 100,000,000 W or 200 dB SWLĪ logarithmic scale is often used when there is a large range of quantities like sound pressure, earthquake strength, light intensity, various frequency-dependent values like musical intervals, in antenna engineering, electronics, acoustics, RF engineering.
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