AnswersAlgebra IIExponential and Logarithmic Functions

Practice Test Answers

14 verified answers1 views
1
Free Preview

For what value of x does 625 is equal to 5 raised to the 6 minus 2 x power ?

A
2
B
1
C
5
D
4
2
Free Preview

Which graph shows the solution to the equation? log sub 3 of open paren x plus 2 close paren is equal to 1

A
Image with description On a coordinate plane the x axis lists from negative 3 to 9 by 1 and y axis lists from negative 4 to 8 by 1. There is a smooth curve that approaches the line x equals negative 2 in the third quadrant. It passes through the point (negative 1 comma 0), (8 comma 1) and increases as x increases. There is a line that is parallel to the x axis and cuts the y axis at (0 comma negative 1).
B
Image with description On a coordinate plane the x axis lists from negative 3 to 9 by 1 and y axis lists from negative 4 to 8 by 1. There is a smooth curve that approaches the line x equals negative 2 in the third quadrant. It passes through the point (negative 1 comma 0), (1 comma 1) and increases as x increases. There is a line parallel to the x axis and cuts the y axis at (0 comma 1).
C
Image with description On a coordinate plane the x axis lists from negative 3 to 9 by 1 and y axis lists from negative 4 to 8 by 1. There is a smooth curve that approaches the line x equals negative 2 in the third quadrant. It passes through the point (negative 1 comma 0), (8 comma 1) and increases as x increases. There is a line that is parallel to the x axis and cuts the y axis at (0 comma 1).
D
Image with description On a coordinate plane the x axis lists from negative 3 to 9 by 1 and y axis lists from negative 4 to 8 by 1. There is a smooth curve that approaches the y axis in the fourth quadrant. It passes through the points (1 comma 0), (3 comma 1) and increases as x increases. There is a line is parallel to the x axis and cuts the y axis at (0 comma negative 1).
3

What are the solutions to log sub 6 of open paren x squared plus 8 close paren is equal to 1 plus log sub 6 of x ?

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

If 343 to the x th power is equal to 49 raised to the 4 minus x power , what is the value of x ?

A
8
B
8 fifths
C
5 eighths
D
2
5

The intensity, or loudness, of a sound can be measured in decibels d cap b , according to the equation cap i times d cap b is equal to 10 log open bracket the fraction with numerator cap i and denominator cap i sub 0 close bracket , where cap i is the intensity of a given sound and cap i sub 0 is the threshold of hearing intensity. What is the intensity, in decibels, open bracket cap i times d cap b close bracket , when cap i is equal to 10 to the 32th power times open paren cap i sub 0 close paren ?

A
737
B
15
C
32
D
320
6

Which function has a horizontal asymptote of y is equal to 3 ?

A
f of x is equal to 3 times open paren 2 to the x th power close paren
B
f of x is equal to 2 times 4 raised to the x minus 3 power
C
f of x is equal to 2 times open paren 4 to the x th power close paren plus 3
D
f of x is equal to 2 times open paren 3 to the x th power close paren
7

Doug bought a new car for 25 dollars comma 000 He estimates his car will depreciate, or lose value, at a rate of 20 percent per year. The value of his car is modeled by the equation cap v is equal to cap p times open paren 1 minus r close paren to the t th power , where cap v is the value of the car, cap p is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 and 1 half years?

A
9 dollars comma 159
B
23 dollars comma 791
C
2 dollars comma 500
D
22 dollars comma 827
8

Which of the following shows the true solution to the logarithmic equation solved? log sub 2 of x plus log sub 2 of open paren x plus 7 close paren is equal to 3 log sub 2 of open bracket x times open paren x plus 7 close paren close bracket is equal to 3 x times open paren x plus 7 close paren is equal to 2 cubed x squared plus 7 x minus 8 is equal to 0 open paren x plus 8 close paren times open paren x minus 1 close paren is equal to 0 x is equal to negative 8 comma 1

A
x is equal to 1
B
x is equal to negative 8
C
x is equal to 1 and x is equal to 8
D
x is equal to 1 and x is equal to negative 8
9

The two expressions have the same value when rounded to the nearest hundredth. the log base 5 of b the log base 9 of 48 What is the approximate value of log b to the nearest hundredth?

A
65 point 5 3
B
0 point 9 3
C
1 point 2 3
D
9 point 1 6
10

What is the range of the function f of x is equal to negative 2 times open paren 6 to the x th power close paren plus 3 ?

A
left bracket negative 2 comma infinity right parenthesis
B
open paren negative infinity comma 3 close paren
C
left parenthesis negative infinity comma negative 2 right bracket
D
left bracket 3 comma infinity right parenthesis
11

What is the range of y is equal to log sub 2 of open paren x minus 6 close paren ?

A
all real numbers
B
all real numbers less than 6
C
all real number greater than 6
D
all real numbers not equal to 0
12

Which expression is equivalent to open paren 16 x to the 8th power y to the negative 12 power close paren raised to the 1 half power ?

A
the fraction with numerator 8 x to the 4th power and denominator y to the 6th power
B
the fraction with numerator 4 x to the 4th power and denominator y to the 6th power
C
negative 4 x to the 4th power y to the 6th power
D
negative 8 x to the 4th power y to the 6th power
13

What are the domain and range of f of x is equal to the log of open paren x minus 1 close paren plus 2 ?

A
domain: x is greater than 1 ; range: y is greater than 2
B
domain: all real numbers; range: all real numbers
C
domain: x is greater than 1 ; range: all real numbers
D
domain : all real numbers; range: y is greater than 1
14

What is the solution of the log base x of 729 is equal to 3 ?

A
18
B
81
C
9
D
6

Did you find these answers helpful?

More from this Course

practice test
20 verified answers

Practice Test

practice test
12 verified answers

Practice Test

practice test
12 verified answers

Practice Test