AdvAlg9.7LogarithmsToBasesOtherThan10.notebook. March 08, 2018
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1 AdvAlg9.7LogarithmsToBasesOtherThan10.notebook In order to isolate a variable within a logarithm of an equation, you need to re write the equation as the equivalent exponential equation. In order to isolate a variable that is an exponent of an equation, you need to re write the equation as the equivalent equation using logarithms. Mar 2 8:58 PM 1
2 The exponential function with base b. If f(x) = log b x then f 1 (x) = b x Mar 2 8:59 PM 2
3 y=b x The domain is the set of positive real numbers (1, 0) y = log b x The range is the set of all real numbers The x intercept is (1,0); there are no y intercepts The y axis (x=0) is a vertical asymptote to the curve. Mar 2 8:59 PM 3
4 Logs are exponents! What is the base? raised to what exponent is Logs are exponents! What is the base? raised to what exponent is 9 27 Logs are exponents! What is the base? raised to what exponent is 9 1 Mar 2 8:59 PM 4
5 Logarithms are EXPONENTS! Mar 2 9:00 PM 5
6 Mar 2 9:00 PM 6
7 Mar 2 9:00 PM 7
8 In order to isolate a variable within a logarithm of an equation, you need to re write the equation as the equivalent exponential equation. In order to isolate a variable that is an exponent of an equation, you need to re write the equation as the equivalent equation using logarithms. Jan 18 8:55 AM 8
9 In order to isolate a variable within a logarithm of an equation, you need to re write the equation as the equivalent exponential equation. In order to isolate a variable that is an exponent of an equation, you need to re write the equation as the equivalent equation using logarithms. Jan 18 8:55 AM 9
10 In order to isolate a variable within a logarithm of an equation, you need to re write the equation as the equivalent exponential equation. In order to isolate a variable that is an exponent of an equation, you need to re write the equation as the equivalent equation using logarithms. Jan 18 8:55 AM 10
11 See section 9.5 Notes Jan 18 8:55 AM 11
12 In order to isolate a variable within a logarithm of an equation, you need to re write the equation as the equivalent exponential equation. In order to isolate a variable that is an exponent of an equation, you need to re write the equation as the equivalent equation using logarithms. Jan 18 8:55 AM 12
13 Mar 2 9:00 PM 13
14 Mar 2 9:01 PM 14
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20 6 3 =d Mar 6 12:25 PM 20
21 Mar 6 12:25 PM 21
22 Mar 2 9:02 PM 22
23 Mar 2 9:02 PM 23
24 Mar 2 9:02 PM 24
25 If log b n = m then log n b = 1/m Mar 2 9:03 PM 25
26 Mar 2 9:03 PM 26
27 Mar 6 7:23 AM 27
28 Mar 5 9:52 AM 28
29 Mar 2 9:03 PM 29
30 Feb 26 6:57 PM 30
31 Mar 6 7:40 AM 31
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33 Feb 26 6:57 PM 33
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39 Mar 6 9:07 AM 39
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44 Mar 6 9:09 AM 44
45 u 7 y 15 Mar 6 9:10 AM 45
46 Mar 6 9:03 AM 46
47 inverse Notes 9 7 y=2 x All reals y > 0 (pos. reals) x axis (y = 0) (0, 1) None log 2 x = y x > 0 (pos. reals) All reals y axis (x = 0) None (1, 0) Dec 30 8:34 PM 47
48 base exponent exponent if and only if b n = m answer value exponent answer Dec 30 8:36 PM 48
49 Dec 30 8:37 PM 49
50 Dec 30 8:37 PM 50
51 Dec 30 8:40 PM 51
52 Dec 30 8:48 PM 52
53 Apr 14 2:22 PM 53
54 Mar 2 9:06 PM 54
SO x is a cubed root of t
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GAMINGRE 8/1/ of 7
FYE 09/30/92 JULY 92 0.00 254,550.00 0.00 0 0 0 0 0 0 0 0 0 254,550.00 0.00 0.00 0.00 0.00 254,550.00 AUG 10,616,710.31 5,299.95 845,656.83 84,565.68 61,084.86 23,480.82 339,734.73 135,893.89 67,946.95
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2015 Senior External Examination Mathematics B Monday 2 November 2015 Paper One Question book 9 am to 12:10 pm Time allowed Perusal time: 10 minutes Working time: 3 hours Examination materials provided
DAILY QUESTIONS 28 TH JUNE 18 REASONING - CALENDAR
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Internet Mat117 Formulas and Concepts. d(a, B) = (x 2 x 1 ) 2 + (y 2 y 1 ) 2. ( x 1 + x 2 2., y 1 + y 2. (x h) 2 + (y k) 2 = r 2. m = y 2 y 1 x 2 x 1
Internet Mat117 Formulas and Concepts 1. The distance between the points A(x 1, y 1 ) and B(x 2, y 2 ) in the plane is d(a, B) = (x 2 x 1 ) 2 + (y 2 y 1 ) 2. 2. The midpoint of the line segment from A(x
Final Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14
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Before we do that, I need to show you another way of writing an exponential. We all know 5² = 25. Another way of writing that is: log
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