James Madison Find the Exponential Equation as Logarithmic Equation Algebra Ques

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Question 1 (5 points)
Given the exponential function g(x)= 1/2(2)», evaluate f(1), f(3), and f(6).
A) f(1) = 1, f(3) = 2, 5(6) = 8
B) f(1) = 1, f(3) = 4, 5(6) = 32
OC) f(1) = 2, f(3) = 9, 5(6) = 64
OD) f(1) = 4, f(3) = 16, f(6) = 128
Question 2 (5 points)
Solve log2(x + 5) + log2(x – 5) = log211.
A)
x= 36
B) x= 30
C) x = 6
D) x= -25
Question 3 (5 points)
What is the solution to the equation 2x + 4 =
= 23x?
A) X= -2
B) x= 3
C) x= 2
D) x= 1
Question 4 (5 points)
g(x)
V
Given that f(x) = 3*, identify the function g(x) shown in the figure.
A) g(x)=3(x-4)-2
B) g(x)=3(x+4)-2
C) g(x)=3(x-4)+2
D) g(x)=3(x+4)+2
Question 5 (5 points)
Solve ex = e2x + 5
A)
X= 5
B) x= -2
O
.
C)
x= -5
o
D x= 10
Question 6 (5 points)
Evaluate log4 64.
A) 8
B) 2
) C) 1/2
D) 3
Question 7 (5 points)
The points (0,3) and (1,12) are solutions of an exponential function. What is the
equation of the exponential function?
A) h(x) = 3(4)
B) h(x) = 4(1/3)*
C) n(x) = 4(3)*
D) h(x) = 3(0.25)*
Question 8 (5 points)
Solve 5 + log2(6x) = 8.
A) x = 4/3
B)
x =
314
C) x = 48
D)
x = 18
Question 9 (5 points)
5
f(x)
3
8.7 -06
43 2.
1
2 3
4 5 6 7 8 9
-2
g(x)
Given that f(x) = 3%, identify the function g(x) shown in the figure.
A) g(x) = -(1/3)*
B)
g(x) = -3-
C)
g(x) = 3-
D)
g(x) = -3
Question 10 (5 points)
Evaluate 3X for x = -2, x = 1, and x = 3.
A) 1/9,9, 27
B) 1/9,3, 27
C) 1/3, 0,9
D) 9,3, 27
Question 11 (5 points)
Write 3log7x – 4log7y as a single logarithm.
A) 108
B) log,
C) –1087
D) log x3y4
Question 12 (5 points)
f(x)
g(x)
3
2
0
-1
2
Given that f(x) = 34, identify the function g(x) shown in the figure.
A)
g(x) = 3-
B) g(x) = -(1/3)*
g(x) = -3%
D)
g(x) = -3-X
Question 13 (5 points)
Suppose the function f(t) = et describes the growth of a colony of bacteria, where tis
hours. Find the number of bacteria present at 5 hours.
A) 59.598
B) 148.413
C) 79.432
D) 8.155
Question 14 (5 points)
Solve 5x = 125 using the one-to-one property of exponents.
A) x= 3
B)
x = In(125)
OC) x = 5
OD) x = 1
Question 14 (5 points)
Solve 5x = 125 using the one-to-one property of exponents.
OA) x = 3
B)
x = In(125)
C) x = 5
D) x= 1
Question 15 (5 points)
Does the function f(x) = 5e0.25x represent exponential growth, decay, or neither?
A) Exponential decay
B) Exponential growth
C) Neither
D) Impossible to determine with the information given.
Question 16 (5 points)
Condense to a single logarithm: In x +In y- z
A) In (x + y-z)
B) In XY/z
C) (In x)(In Y/2)
D) In XY/ In z
Question 17 (5 points)
Solve ex + 4 = 29 using the inverse property of exponents.
A) x = 25
B) x= €29
C)
x = In 29 – In 4
D) x = In 25
Question 18 (5 points)
Solve log2 2x = log216 using the one-to-one property of logarithms.
o
A) X= 2
B) x= 4
o o
C) x = 8
D) x = 6