1. Simplify the expression and write down the possible values of a and/or b: (i) In(eª) (ii) elna (iii) In(e"eb) (iv) elna-Inb

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Please help with number 1(i, iii, iv)
1. Simplify the expression and write down the possible values of a and/or b:
(i) In(e") (ii) elna (iii) In(e eb) (iv) elna-Inb
2. Use the properties of the In-function to write the expression as the In of a single quantit
(i) Ina + 3 Inb (ii) 4 ln(a + b) – 3 Ina
3. Write down the domain of the function in set notation:
(i) (x) = In(x + 4) (ii) f(x) = ln(x² + 4) (iii) f(x) = In(-x)
|3|
(iv) f(x)
Je
(v) fx) = ev5
4. Solve the following equations:
(i) 5+ e-0.lx = 10 (ii) 10 +e 0.Lx = 5 (iii) In(4x) = 16
5. Solve the following equations:
(i) 4e - 5e8 (ii) Inx-Inx= 4 (iii) Inx- Inx = 4
%3D
%3!
6.
Use graphs to solve the following inequalities.:
08:39
Wednesday
O 4) G 2021/09/29
20°C
acer
00
HUAWEI P30 lite
TRIPLE CAMERA
Transcribed Image Text:1. Simplify the expression and write down the possible values of a and/or b: (i) In(e") (ii) elna (iii) In(e eb) (iv) elna-Inb 2. Use the properties of the In-function to write the expression as the In of a single quantit (i) Ina + 3 Inb (ii) 4 ln(a + b) – 3 Ina 3. Write down the domain of the function in set notation: (i) (x) = In(x + 4) (ii) f(x) = ln(x² + 4) (iii) f(x) = In(-x) |3| (iv) f(x) Je (v) fx) = ev5 4. Solve the following equations: (i) 5+ e-0.lx = 10 (ii) 10 +e 0.Lx = 5 (iii) In(4x) = 16 5. Solve the following equations: (i) 4e - 5e8 (ii) Inx-Inx= 4 (iii) Inx- Inx = 4 %3D %3! 6. Use graphs to solve the following inequalities.: 08:39 Wednesday O 4) G 2021/09/29 20°C acer 00 HUAWEI P30 lite TRIPLE CAMERA
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