AnswersAlgebra IIExponential and Logarithmic Functions

Exponential and Logarithmic Functions — Test Answers

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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
3
B
negative 3
C
9
D
negative 9
22
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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. Two curves are drawn. One of the curve approaches the y axis in the first quadrant and passes through (2 comma negative 1) and (4 comma negative 2). The other curve passes through (3 comma 1), (1 comma 0), and approaches y axis in the fourth quadrant.
B
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 smooth curve that passes through (0 point 5 comma negative 1), and (1 comma 0), and approaches y axis in the fourth quadrant. There is a line that passes through the origin, (1 comma 1), and (2 comma 2).
C
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).
D
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 are two hyperbolas defined for positive values of x. One of the parabola has vertex (3 comma 0) and it approaches the x axis and the line x equals 1. The other hyperbola has vertex at (2 comma negative 1) and it approaches the x axis and the line x equals 1.
23

If the equation is solved by graphing, which statement is true? the log of open paren 6 x plus 10 close paren is equal to the log base 1 half of x

A
The curves intersect at approximately x is equal to 1 point 1 1 .
B
The curves intersect at approximately x is equal to 0 point 4 6 .
C
The curves intersect at approximately x is equal to 0 point 7 5 .
D
The curves intersect at approximately x is equal to 3 point 0 7 .
24

What is the solution to 2 log sub 9 x is equal to log sub 9 8 plus log sub 9 of open paren x minus 2 close paren ?

A
x is equal to negative 2
B
x is equal to 4
C
x is equal to negative 4
D
x is equal to 8
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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