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1. The Common and Natural Logarithms
Covers the natural (base e) and common (base 10) logs. The Purplemath Forums ... its base, but two log bases are more useful ... base-10, or "common", log is popular for historical
www.purplemath.com/modules/logs3.htm
 
2. Basic Log Rules / Expanding Log Expressions
Lists the basic log ruls and demonstrates how to ... are similar rules for logarithms. Log Rules: 1) logb(mn) = logb ... In less formal terms, the log rules might be expressed as
www.purplemath.com/modules/logrules.htm
 
3. Solving Exponential Equations by Using Logarithms
This is useful to me because of the log rule that says that exponents ... 30" is "2", I might try log-base-2: log2(2 x ) = log2 ... I just used the natural log in the first place? 2
www.purplemath.com/modules/solvexpo2.htm
 
4. Solving Exponential Equations: Calculators and Other Considerations
Don't find all the values of the individual logs, write them down, re- ... can solve by taking logs: 2e x + 5 = 115 ... simplified differently, by using log properties and rules) before
www.purplemath.com/modules/solvexpo3.htm
 
5. The Change-of-Base Formula
There is one other log "rule", but it's more ... of things. In the original log, the argument is "above" the ... of-base, using the natural log as my new log: Then the answer, rounded to
www.purplemath.com/modules/logrules4.htm
 
6. Expanding and Simplifying Log Expressions
The x has an exponent (which is now "on" everything inside its log), so move the ... simplify the first log to an exact ... can simplify ("compress"?) log expressions. When they
www.purplemath.com/modules/logrules2.htm
 
7. Solving Logarithmic Equations from the Definition
Demonstrates how to solve logarithmic equations by using log rules and comparing log arguments. The ... equation has two logs , each having the ... words, the log expressions being
www.purplemath.com/modules/solvelog.htm
 
8. Logarithms: Introduction to "The Relationship"
Whatever is inside the logarithm is called the "argument" of the log. Note that the ... exponential equation and the log equation (above) is "b ... argument of the log becomes the "equals
www.purplemath.com/modules/logs.htm
 
9. Formatting Math as Text: Common Algebra Notation
Define what you mean ("x-sub-one") in your post. log2(5) log_2(5) Use ... I" for the natural log. The notation is "LN ... forget your parentheses. log(y) log_2(y)log_10(y)log_e(y) If
www.purplemath.com/modules/mathtext.htm
 
10. Solving Logarithmic Equations with Exponentials
Solve log2(x) = 4. Since this is "log equals a number", rather ... I'll need to use log rules to combine the two ... Relationship to convert the log form to the corresponding
www.purplemath.com/modules/solvelog2.htm
 
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