AnswersAlgebra IIExponential and Logarithmic Functions

Exponential and Logarithmic Functions — Test Answers

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21
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For what value of x does 3 raised to the 4 x power is equal to 27 raised to the x minus 3 power ?

A
9
B
3
C
negative 9
D
negative 3
22
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What is the domain of y is equal to log sub 4 of open paren x plus 3 close paren ?

A
all real numbers less than negative 3
B
all real numbers greater than negative 3
C
all real numbers greater than 3
D
all real numbers less than 3
23

A population of insects increases at a rate of 1 point 5 percent per day. About how long will it take the population to double?

A
5 point 0 days
B
66 point 7 days
C
46 point 6 days
D
2 point 5 days
24

Which graph represents an exponential decay function?

A
Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma 1), (4 comma 2),and (8 comma 3) in the first quadrant.
B
Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma negative 1) and (4 comma negative 2) in the fourth quadrant.
C
Image with description On a coordinate plane, the curve passes through (negative 3 comma 8), (negative 2 comma 4), (negative 1 comma 2), and (0 comma 1). It approaches to the x-axis as the value of x increases.
D
Image with description On a coordinate plane, the curve passes through (0 comma 1), (1 comma 2), (2 comma 4), and (3 comma 8). It approaches to the x-axis as the value of x decreases.
25

Which function is shown in the graph?

A
y is equal to 1 half raised to the x minus 3 power plus 1
B
y is equal to 1 half raised to the x plus 3 power minus 1
C
y is equal to 1 half raised to the x minus 1 power plus 3
D
y is equal to 1 half raised to the x plus 1 power minus 3

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