Technically speaking, logs are the inverses of exponentials.. If you seek guidance on quadratic formula or perhaps dividing rational expressions, Algebra-help.org will be the ideal destination to visit! 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. 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). Sort by: Top Voted. 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. For example, 1000 … Clearly, 2 3 = 8 so log 2 8 = 3. Relationship between exponentials & logarithms: tables. Next lesson. Algebra-help.org contains useful facts on logarithms for dummies, grouping and lesson plan and other math subjects. Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication.Logs "undo" exponentials. 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. A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Logarithm, the exponent or power to which a base must be raised to yield a given number. For example, log 2 8 is equal to the power to which 2 must be raised to in order to produce 8. Don’t memorize the rules, understand them. Practice: Relationship between exponentials & logarithms. The following is an example of an exponential function: I hope the strange math of logarithms is starting to make sense: multiplication of growth becomes addition of time, division of growth becomes subtraction of time. In practical terms, I have found it useful to think of logs in terms of The Relationship: Where A is the amplitude (in mm) measured by the Seismograph and B is a distance correction factor In the same fashion, since 10 2 = 100, then 2 = log 10 100. Intro to logarithms. Here are some uses for Logarithms in the real world: Earthquakes. The constant e and the natural logarithm. Using Natural Logs With Any Rate “Sure,” you say, “This log stuff works for 100% growth but what about the 5% I normally get?” The logarithmic function is the inverse to the exponential function. The famous "Richter Scale" uses this formula: M = log 10 A + B. In general, for b > 0 and b not equal to 1, Some of the basic properties of logarithms are listed below. 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