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

A
x is equal to negative 2
B
x is equal to 2
C
x is equal to negative 4
D
x is equal to 4
2
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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 1
B
x is equal to 8
C
x is equal to 2
D
x is equal to 4
3

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

A
1
B
2
C
4
D
0
4

What is the true solution to the equation? 2 ln e raised to the natural log 2 power minus the natural log of e raised to the natural log 10 power is equal to natural log 30

A
x is equal to 150
B
x is equal to 75
C
x is equal to 30
D
x is equal to 300
5

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

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

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

A
7 e
B
7
C
7 x
D
1
7

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 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.
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 4), 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 (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 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 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 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.
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.
9

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

A
all real numbers less than 4
B
all real numbers greater than 0
C
all real numbers less than 0
D
all real numbers greater than 4
10

What is the true solution to 2 ln e raised to the natural log 5 power is equal to 2 ln 15 ?

A
x is equal to 0
B
x is equal to 3
C
x is equal to 9
D
x is equal to 15

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