Example: Solve for x 3x-2 4*+1 -(19)** (2²)**¹ = (2-¹)³-2 22x+2=2-3x+2 2x+2=-3x+2 x=0 Solve for x: 55. 33x+592x+1 EXPONENTIAL FUNCTIONS Get a common base Simplify Set exponents equal Solve for x 56. (). = 272x+4 57. ()* = 216

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 30RE
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Example: Solve for x
3x-2
4x+1
4* -(19)**
(2²)**¹ = (2-1)³-²2
22x+2=2-3x+2
2x+2=-3x+2
x=0
Solve for x:
55. 33x+5=92x+1
EXPONENTIAL FUNCTIONS
Get a common base
Simplify
Set exponents equal
Solve for x
56. ()-27
In exponential for this is 27 = 8
Therefore ? 3
Thus log₂8=3
= 27²x+4
LOGARITHMS
Example: Evaluate the following logarithms
log₂ 8=?
The statement y = b* can be written as x= log, y. They mean the same thing.
REMEMBER: A LOGARITHM IS AN EXPONENT
Recall In x = log.x
The value of e is 2.718281828... or lim 1+=
X-400
14
Evaluate the following logarithms
58. log, 7
1
32
60. log21
57. ()* = 216
62. log, 1
64. In √e
59. log, 27
61. log255
63. log, 8
65. In-
e
Transcribed Image Text:Example: Solve for x 3x-2 4x+1 4* -(19)** (2²)**¹ = (2-1)³-²2 22x+2=2-3x+2 2x+2=-3x+2 x=0 Solve for x: 55. 33x+5=92x+1 EXPONENTIAL FUNCTIONS Get a common base Simplify Set exponents equal Solve for x 56. ()-27 In exponential for this is 27 = 8 Therefore ? 3 Thus log₂8=3 = 27²x+4 LOGARITHMS Example: Evaluate the following logarithms log₂ 8=? The statement y = b* can be written as x= log, y. They mean the same thing. REMEMBER: A LOGARITHM IS AN EXPONENT Recall In x = log.x The value of e is 2.718281828... or lim 1+= X-400 14 Evaluate the following logarithms 58. log, 7 1 32 60. log21 57. ()* = 216 62. log, 1 64. In √e 59. log, 27 61. log255 63. log, 8 65. In- e
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