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What is the range of the function y is equal to 4 e to the x th power ?

A
all real numbers less than 0
B
all real numbers greater than 0
C
all real numbers less than 4
D
all real numbers greater than 4
3
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What is the true solution to 3 ln 2 plus natural log 8 is equal to 2 ln 4 x ?

A
x is equal to 4
B
x is equal to 2
C
x is equal to 8
D
x is equal to 1
4

What is 3 ln 3 minus natural log 9 expressed as a single natural logarithm?

A
natural log 27
B
natural log 18
C
natural log 6
D
natural log 3
5

What is the true solution to 2 ln 4 x is equal to 2 ln 8 ?

A
x is equal to 2
B
x is equal to 4
C
x is equal to negative 2
D
x is equal to negative 4
6

Which of the following shows the graph of y is equal to 2 e to the x th power ?

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 starts from the first quadrant, crosses the y axis at (0 comma 2), decreases with x value. From here it moves to the second quadrant and approaches x axis in the second 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 curved graph that starts from the first quadrant, crosses the y axis at (0 comma 4), decreases with x value. From here it moves to the second quadrant and approaches x axis in the second quadrant.
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 starts from the first quadrant, crosses the x axis at (1 comma 0), decreases with x value. From here it moves to the fourth quadrant and approaches y axis in the fourth quadrant.
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 is a curved graph that starts from the first quadrant, crosses the x axis at (1 comma 0), decreases with x value. From here it moves to the fourth quadrant and approaches y axis in the fourth quadrant.
8

Which of the following shows the graph of y is equal to 2 ln 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 starts from the first quadrant, crosses the x axis at (1 comma 0), decreases with x value. From here it moves to the fourth quadrant 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 curved graph that starts from the first quadrant, crosses the y axis at (0 comma 1), decreases with x value. From here it moves to the second quadrant and approaches x axis in the second quadrant.
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 starts from the first quadrant, crosses the y axis at (0 comma 2), decreases with x value. From here it moves to the second quadrant and approaches x axis in the second quadrant.
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 is a curved graph that starts from the first quadrant, crosses the x axis at (0 point 5 comma 0), decreases with x value. From here it moves to the fourth quadrant and approaches y axis in the fourth quadrant.
9

What is the value of e raised to the natural log 7 power ?

A
1
B
7 x
C
7
D
7 e
10

What is the value of the natural log of e to the 4th power ?

A
2
B
1
C
0
D
4

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