AnswersAdvanced Algebra Concepts and ConnectionsExponential and Logarithmic Functions: Part Two

Exponential and Logarithmic Functions: Part Two — Test Answers

25 verified answers
21
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What is the value of the log base 625 of 5 ?

A
4
B
negative 4
C
negative 1 fourth
D
1 fourth
22
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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
2 point 5 days
B
5 point 0 days
C
66 point 7 days
D
46 point 6 days
23

Which graph shows the solution to the equation? the log base 3 of x is equal to the log base 0 point 5 of x

A
Image with description On a coordinate plane the x axis lists from negative 5 to 5 by 1 and y axis lists from negative 5 to 5 by 1. There is a curved graph that passes through (negative 4 comma negative 2), and (negative 2 comma negative 1). It increases in the third quadrant, changes direction at the origin, and then again increases in the first quadrant passing through (5 comma 1 point 5). There is line that passes through the origin, (1 comma 1), and (2 comma 2).
B
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 5 to 5 in increments of 1 unit. Four curves are plotted, with two entirely above the x-axis and two entirely below the x-axis. Above the x-axis, one curve extends from an arrow on the y-axis at 0 comma 0.5 up to an upward-pointing arrow near 1 comma 5, and a second curve extends from an upward-pointing arrow near 1 comma 5 down to an arrow near 5 comma 0.5. Below the x-axis, one curve extends from an arrow on the y-axis at 0 comma negative 0.5 down to a downward-pointing arrow near 1 comma negative 5, and a second curve extends from a downward-pointing arrow near 1 comma negative 5 up to an arrow near 5 comma negative 0.5.
C
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 5 to 5 in increments of 1 unit. Two curves intersect at 1 comma 0. The first curve extends from a downward-pointing arrow near 0 comma negative 5, increases upward to pass through 1 comma 0 and 3 comma 1, and continues increasing to an arrow near 5 comma 1.5. The second curve extends from an upward-pointing arrow near 0 comma 5, decreases downward to pass through 1 comma 0 and 2 comma negative 1, and continues decreasing to an arrow near 5 comma negative 2.5
D
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 5 to 5 in increments of 1 unit. A straight line extends from a downward-pointing arrow near negative 5 comma negative 5, passes through 0 comma 0, and continues upward to an arrow near 5 comma 5. A curve extends from a downward-pointing arrow near 0 comma negative 5, increases upward to pass through 1 comma 0, and continues increasing to an arrow near 5 comma 1.5.
24

Which of the following is true about the base b of a logarithmic function?

A
b is greater than 0 and b is not equal to 1
B
b is less than 0 and b is not equal to 1
C
b is less than 0 and b is equal to 1
D
b is greater than 0 and b is equal to 1
25

Which equation is represented by the graph?

A
y is equal to natural log x minus 4
B
y is equal to e to the x th power minus 4
C
y is equal to e to the x th power minus 3
D
y is equal to natural log x minus 3

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