In Problems 37–56, write each expression as a sum and/or difference of logarithms. Express powers as factors. 37. logs(25x) 38. logs 39. log2 z 40. log7x* 41. In(ex) 42. In 43. In 44. In (xe") 45. log, (u?v) u> 0, v > 0 46. log: a >0, b >0 b2 47. In(x²V1 - x) 00 49. logz 50. logs x>3 x>1 [x(x + 2) - (x + 3)² (x – 4)2²72/3 Vx + 1 (x – 2)2 51. log x >0 52. log 53. In x> 2 x>2 5xV1 + 3x 54. In x>4 55. In x>4 56. In 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Problems 37–56, write each expression as a sum and/or difference of logarithms. Express powers as factors.
37. logs(25x)
38. logs
39. log2 z
40. log7x*
41. In(ex)
42. In
43. In
44. In (xe")
45. log, (u?v) u> 0, v > 0
46. log:
a >0, b >0
b2
47. In(x²V1 - x) 0<x<1
VF +1°
x² - 1
² -x - 27/3
(x + 4)2
[ 5x²V1 – x
48. In (xV1 + x) x>0
49. logz
50. logs
x>3
x>1
[x(x + 2)
- (x + 3)²
(x – 4)2²72/3
Vx + 1
(x – 2)2
51.
log
x >0
52. log
53. In
x> 2
x>2
5xV1 + 3x
54. In
x>4
55. In
x>4
56. In
0 <x<1
(x – 4)3
4(x + 1)?
1
Transcribed Image Text:In Problems 37–56, write each expression as a sum and/or difference of logarithms. Express powers as factors. 37. logs(25x) 38. logs 39. log2 z 40. log7x* 41. In(ex) 42. In 43. In 44. In (xe") 45. log, (u?v) u> 0, v > 0 46. log: a >0, b >0 b2 47. In(x²V1 - x) 0<x<1 VF +1° x² - 1 ² -x - 27/3 (x + 4)2 [ 5x²V1 – x 48. In (xV1 + x) x>0 49. logz 50. logs x>3 x>1 [x(x + 2) - (x + 3)² (x – 4)2²72/3 Vx + 1 (x – 2)2 51. log x >0 52. log 53. In x> 2 x>2 5xV1 + 3x 54. In x>4 55. In x>4 56. In 0 <x<1 (x – 4)3 4(x + 1)? 1
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