Sort by: Top Voted. Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication.Logs "undo" exponentials. Using Natural Logs With Any Rate “Sure,” you say, “This log stuff works for 100% growth but what about the 5% I normally get?” Evaluate logarithms. The constant e and the natural logarithm. A logarithm to the base b is the power to which b must be raised to produce a given number. Logarithms are related to ‘times’ scales - for example in the Richter scale for earthquakes, an increase in 1 point on the scale corresponds to an increase of 10 times more energy released. In practical terms, I have found it useful to think of logs in terms of The Relationship: Intro to logarithms. Logarithm, the exponent or power to which a base must be raised to yield a given number. Where A is the amplitude (in mm) measured by the Seismograph and B is a distance correction factor The decibel scale used for sound is another common example of a log scale. Technically speaking, logs are the inverses of exponentials.. The logarithmic function is the inverse to the exponential function. For example, 1000 … A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Next lesson. Evaluate logarithms. 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, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100. Just as an exponential function has three parts, a logarithm has three parts as well: a base, an argument and an answer (also called power). Zoldak, a "successful businesswoman," began her explanation of logarithms with the eHow-mandated introduction (75 to 100 words): "Mathematicians and computer programmers use logarithmic exponents because it simplifies complex mathematical calculations. The magnitude of an earthquake is a Logarithmic scale. The following is an example of an exponential function: Algebra-help.org contains useful facts on logarithms for dummies, grouping and lesson plan and other math subjects. Here are some uses for Logarithms in the real world: Earthquakes. In general, for b > 0 and b not equal to 1, Some of the basic properties of logarithms are listed below. Clearly, 2 3 = 8 so log 2 8 = 3. If you seek guidance on quadratic formula or perhaps dividing rational expressions, Algebra-help.org will be the ideal destination to visit! Relationship between exponentials & logarithms: tables. The famous "Richter Scale" uses this formula: M = log 10 A + B. Don’t memorize the rules, understand them. 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