4. A student has used the product property and the one-to- one property of logarithms to determine that 5 and -1 are possible solutions of In(7x - 5) = In (2x + 5) + In(x-3). Are both of these values solutions of the logarithmic equa- tion? %3D In Exercises 5 to 52, use algebraic procedures to find the exact solution or solutions of the equation. 5. 2% = 64 6. 3* = 243 %3D |3D 7.49% = 44. 10log(2x+7) = 8 %3D 10* + 10 * 20 46. 8. %3D 10* 10 * 48. 10* +10-x ex- e* 50. =D 15 ex + e-* 52. ex-e-x use a graphing utility to approximat ions of the equation to the nearest 54. 3*-2 = -2x - 1 %3D 56. 2e**2 + 3x = 2 1/2 I| 2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.5: Logarithmic Properties
Problem 40SE: Can the power property oflogarithms be derivedfrom the power property of exponents using theequation...
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4. A student has used the product property and the one-to-
one property of logarithms to determine that 5 and -1 are
possible solutions of In(7x - 5) = In (2x + 5) + In(x-3).
Are both of these values solutions of the logarithmic equa-
tion?
%3D
In Exercises 5 to 52, use algebraic procedures to find the
exact solution or solutions of the equation.
5. 2% = 64
6. 3* = 243
%3D
|3D
7.49% =
Transcribed Image Text:4. A student has used the product property and the one-to- one property of logarithms to determine that 5 and -1 are possible solutions of In(7x - 5) = In (2x + 5) + In(x-3). Are both of these values solutions of the logarithmic equa- tion? %3D In Exercises 5 to 52, use algebraic procedures to find the exact solution or solutions of the equation. 5. 2% = 64 6. 3* = 243 %3D |3D 7.49% =
44. 10log(2x+7) = 8
%3D
10* + 10 *
20
46.
8.
%3D
10* 10 *
48.
10* +10-x
ex- e*
50.
=D 15
ex + e-*
52.
ex-e-x
use a graphing utility to approximat
ions of the equation to the nearest
54. 3*-2 = -2x - 1
%3D
56. 2e**2 + 3x = 2
1/2
I|
2.
Transcribed Image Text:44. 10log(2x+7) = 8 %3D 10* + 10 * 20 46. 8. %3D 10* 10 * 48. 10* +10-x ex- e* 50. =D 15 ex + e-* 52. ex-e-x use a graphing utility to approximat ions of the equation to the nearest 54. 3*-2 = -2x - 1 %3D 56. 2e**2 + 3x = 2 1/2 I| 2.
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