Topic: Logarithm Rules
Answers to Common Questions
How to Find the Derivative Using the Logarithm Rule (Function as ...
Write the equation in the form y = f(x)^g(x). Now, take the natural logarithm of both sides. That is, transform the equation into ln(y) = ln[f(x)^g(x)] Use the properties of logarithms to simplify the right hand side. That is, rewrite the e... Read More »
Source: http://www.ehow.com/how_5800203_derivative-logarithm-rule-_functi...
What are the four logarithmic rules?
Log Rules: 1) Multiplication inside the log can be turned into addition outside t... Read More »
Source: http://www.chacha.com/question/what-are-the-four-logarithmic-rule...
What is the logarithmic rule?
Mostly like by now you have learned various rules for manipulating and simplifying expressions with exponents, such as the rule that says that x3 × x5 equals x8 because you can add the exponents. There are similar rules for logarithms. Log ... Read More »
Source: http://answers.yahoo.com/question/index?qid=20081208081648AAl9tZF
Answers to Other Common Questions
Based on John Napier's principle of the logarithm, it came in... Read More »
Source: http://www.chacha.com/question/who-invented-the-slide-rule-based-...
Both the rectilinear and the circular slide rule w... Read More »
Source: http://www.chacha.com/question/who-was-the-slide-rule-based-on-lo...
e^(2+lnx) = e^2 * e^(lnx) (used property c^(a+b) = c^a * c^b for any number c) e^2 * e^(lnx) = e^2 * x The reason e^lnx = x comes from the definition of a logarithm. lnx = c is the same as "log base e"(x) = c which is the same as saying e^c... Read More »
Source: http://answers.yahoo.com/question/index?qid=20110818185550AAlqe8R
Applicable log rule: log(m) - log(n) = log(m / n) m = (5 / 36) n = (5 / 9) log(5 / 36) - log(5 / 9) = log( (5 / 36) / (5 / 9) ) = log( (5/5) / (36/9) ) = log(1 / 4) Apply the same log rule again: log(m / n) = log(m) - log(n) m = 1 n = 4 log... Read More »
Source: http://answers.yahoo.com/question/index?qid=20120421191407AAc9gta
For the product rule: Suppose that the base is b. Using the definition of log_b(x) as the unique real number such that b^(log_b(x)) = x, We know that b^(log_b(xy)) = xy But, b^(log_b(x) + log_b(y)) = b^(log_b(x)) * b^(log_b(y)) [One of the ... Read More »
Source: http://answers.yahoo.com/question/index?qid=20090818144320AAx4XIg
you need to use the definition of log{b}....t = log {b} w if and only if b^t = w.......y = log{b} (R^c) if and only if b^y = R^c---> b^(y/c) = R if and only if y/c = log {b} R---> y = c log {b} R Read More »
Source: http://answers.yahoo.com/question/index?qid=20081111155154AACgP6m
The slide rule (often nicknamed a "slipstick") is a mechanical analog computer, consisting of at least two finely divided logarithmic scales (rules), most often a fixed outer pair and a movable inner one, with a sliding window called the cu... Read More »
Source: http://answers.yahoo.com/question/index?qid=20060625095058AAXtR9i
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