Logarithm of negative number

    • [DOC File]Logarithms: Introduction to

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      logb(a) is undefined if a is negative. logb(0) is undefined for any base b. logb(bn) = n, for any base b. The Common and Natural Logarithms . A logarithm can have any positive value as its base, but two log bases are more useful than the others. The base-10, or "common", log is popular for historical reasons, and is usually written as "log(x)".

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    • [DOC File]A LOGARITHM is an exponent

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      From these examples, you can see that the logarithm of a positive, real number can be positive or negative or zero. If y (the positive, real number) is greater than 0 but less than 1, log y will be negative. If y = 1, log y = 0 . If y is greater than 1, log y will be positive.

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    • [DOC File]LESSON X - Mathematics & Statistics

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      3. Using the definition of logarithm ( if and only if ), we will write the logarithmic equation as an exponential equation: We need to check that the number makes the argument of the logarithm positive since the logarithm of a negative number or zero is undefined. The argument of is x. Thus, x …

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    • [DOC File]Logarithms

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      The logarithm laws are obtained from the index laws and are: Note: It is not possible to have the logarithm of a negative number. All logarithms must have the same base. Simplifying logarithms The logarithm laws can be used to simplify logarithmic expressions. Example 1 . Express the following as a single logarithm. (Remember the logarithms ...

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    • [DOC File]Intermediate Algebra Final Exam Review Sheet

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      The logarithm of a fraction between zero and one is negative. The logarithm of a number greater than one is positive. The graph of the function increases, as shown below: Solving logarithmic equations: Convert the equation to exponential form, and go from there. Definition:

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    • [DOC File]LETTER-WORD IDENTIFICATION

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      28 addition of positive and negative number. 29 multiplication of positive and negative number. 30 division of fractions; no common denominator. 31 root to 3rd power. 32-33 algebraic equation. 34 percentage of decimal. 35 algebraic equation. 36 division; mixed fraction. 37 logarithm. 38 square root; algebraic equation. 39 square root; decimal

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    • [DOC File]Inverse Functions

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      18. From 1986 through 1992, the number of automatic teller machine (ATM) transactions (in millions) in the United States changed at the rate of , where corresponds to 1986. In 1992, there were 600 million transactions.. a. Write the model that gives the total number of ATM transactions per year. b.

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    • [DOC File]Unit 6: Exponential and Logarithmic Functions

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      For example, the number 4000 has one significant digit; the zeros don’t count because there’s no nonzero digit after them. But the number 4000.5 has five significant digits: the 4, the 5, and all the zeros in between. And the number 0.003 has three significant digits: the 3 and the two zeros that come between the 3 and the decimal point ...

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    • [DOC File]Name: __________________________ Date ...

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      The amount or number of H+ ions to OH- ions determines the pH of a. solution or it is acidic, basic or neutral. ... The definition of pH is pH is equal to the negative log (logarithm) of the _____ ion concentration of a solution. A pH value of less than 7 indicates a(n) _____ solution. ...

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    • [DOC File]Unit 11 LS 01 Day 3 Calculating pH - Chemistry

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      pH is the negative logarithm base 10 of the hydrogen ion concentration in moles per liter. Mathematical definition of pH. pH = – log10[H+] [H+] is the concentration of hydrogen ions in units of moles per liter. pH of neutral solutions. For a neutral solution: [H+] = 1. 0 x 10(7 M. pH = – …

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