Answers Algebra IIExponential and Logarithmic Functions

Exponential and Logarithmic Functions — Test Answers

25 verified answers1 views

Free Preview

Which function is shown in the graph?

y is equal to 1 half raised to the x plus 1 power minus 3

y is equal to 1 half raised to the x minus 3 power plus 1

y is equal to 1 half raised to the x plus 3 power minus 1

y is equal to 1 half raised to the x minus 1 power plus 3

Free Preview

What is the solution to the given equation? log sub 6 4 x squared minus the log base 6 of x is equal to 2

x is equal to 9

x is equal to 3 halves

x is equal to 3

x is equal to 1 over 12

What is the approximate value of the log base 6 of 25 ?

1 point 7 9 6

0 point 5 5 7

0 point 2 3 3

0 point 6 2 0

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?

46 point 6 days

2 point 5 days

5 point 0 days

66 point 7 days

What is the true solution to the given equation? 2 log sub 3 6 x minus log sub 3 of 4 x is equal to 2 log sub 3 open paren x plus 2 close paren

x is equal to 2 and x is equal to 4

x is equal to negative 2 and x is equal to 1

x is equal to 1 and x is equal to 4

x is equal to negative 2 and x is equal to 2

The height of a plant over time is shown in the following table. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? Plant Height t , time in months h , height in inches 1 18 2 18 point 2 1 3 18 point 3 3 4 18 point 4 2 5 18 point 4 8 6 18 point 5 4

14 Months

28 Months

16 Months

10 Months

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

b is less than 0 and b is equal to 1

b is greater than 0 and b is not equal to 1

b is greater than 0 and b is equal to 1

b is less than 0 and b is not equal to 1

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

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.

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).

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.

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).

What is the solution to log sub 5 of open paren x plus 30 close paren is equal to 3 ?

x is equal to 95

x is equal to negative 95

x is equal to negative 5

x is equal to 5

What is the value of the log base 625 of 5 ?

negative 1 fourth

1 fourth

negative 4

What is the domain of y is equal to log sub 4 of open paren x plus 3 close paren ?

all real numbers greater than 3

all real numbers greater than negative 3

all real numbers less than negative 3

all real numbers less than 3

Which graph represents an exponential decay function?

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.

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.

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.

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.

Calvin deposits 400 dollars in a savings account that accrues 5 percent interest compounded monthly. After c years, Calvin has 658 point 8 0 dollars Makayla deposits 300 dollars in a different savings account that accrues 6 percent interest compounded quarterly. After m years, Makayla has 613 point 0 4 dollars What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

Makayla invests her money 2 years longer.

Calvin invests his money 1 year longer.

Calvin invests his money 2 years longer.

Makayla invests her money 1 year longer.

What is the true solution to the logarithmic equation? log sub 2 of 6 x minus log sub 2 of open paren square root of x close paren is equal to 2

x is equal to 2 ninths

x is equal to 2 thirds

x is equal to 4 ninths

x is equal to 0

The range of which function is open paren 2 comma infinity close paren ?

y is equal to 2 to the x th power

y is equal to 5 to the x th power plus 2

y is equal to 5 raised to the x plus 2 power

y is equal to 2 times open paren 5 to the x th power close paren

What is the solution to the equation 2 raised to the x plus 4 power minus 12 is equal to 20 ?

x is equal to 1

x is equal to 2

x is equal to 0

x is equal to 9

What is the solution of log sub 2 of open paren 3 x minus 7 close paren is equal to 3 ?

1 third

16 thirds

Which of the following shows the extraneous solution to the logarithmic equation? log sub 3 of open paren 18 x cubed close paren minus log sub 3 of 2 x is equal to the log base 3 of 144

x is equal to negative 16

x is equal to negative 2

x is equal to negative 8

x is equal to negative 4

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

The curves intersect at approximately x is equal to 1 point 1 1 .

The curves intersect at approximately x is equal to 3 point 0 7 .

The curves intersect at approximately x is equal to 0 point 7 5 .

The curves intersect at approximately x is equal to 0 point 4 6 .

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 ?

x is equal to negative 4

x is equal to negative 2

x is equal to 8

x is equal to 4

Did you find these answers helpful?

Exponential and Logarithmic Functions — Test Answers

More from this Course

TRY EDGENUITY HACKS