AnswersDHS Algebra 2 VBase e

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Identify the graph of y = ex - 2.

A
Option
B
Option
C
Option
2
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02 + y2ye2y

A
0
B
2 + y
C
2ye
D
2y
3

-101e

A
-1
B
0
C
1
D
e
4

05 + x5ex5x

A
0
B
5 + x
C
5ex
D
5x
5

Identify the graph of y = ln x + 1.

A
Option
B
Option
C
Option
6

03e3e

A
0
B
3
C
e
D
3e
7

ln 16 - ln 8

A
ln 2
B
ln 8
C
ln 128
8

Which expressions are equivalent to 2 ln a + 2 ln b - ln a? Check all that apply.

A
ln ab2 - ln a
B
ln a + 2 ln b
C
ln a2 + ln b2 - ln a
D
2 ln ab
E
ln ab2
9

ln 3x = 3 ln xln 3 - ln xln 3 + ln x

A
3 ln x
B
ln 3 - ln x
C
ln 3 + ln x
10

4 ln 2 + 4 ln x4 ln 2 + ln x 8 ln x

A
4 ln 2 + 4 ln x
B
4 ln 2 + ln x
C
8 ln x
11

Solve: 4 ln x = 2 ln 25

A
x = 5
B
x = 25
C
x = 625
12

Identify the solution set of 3 ln 4 = 2 ln x.

A
{6}
B
{-8, 8}
C
{8}
13

A town predicts that its population will double in years.Simplify the expression. In how many years will the population of the town double?

Question illustration
Answer:

5

14

Which did you include in your solution?

A
Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.
B
The difference shown cannot be written as a quotient of logarithms.
C
The step ln(x2) = ln(3x) - (0) reduces to ln(x2) = ln(3x).
D
The possible solutions are 0 and 3, with 0 being extraneous.
15

ln 2 + ln 8 - ln 4

A
ln 4
B
ln 6
C
ln 64
16

Which expressions are equivalent to ln x + 2 ln 5 + ln 1? Check all that apply.

A
2 ln 5x
B
ln (x + 26)
C
ln 25x + ln 1
D
ln 25x
17

= ln 2 + ln a - ln bln 2 - ln a - ln b 2 ln a - ln b

Question illustration
A
ln 2 + ln a - ln b
B
ln 2 - ln a - ln b
C
2 ln a - ln b
18

ln 4 - 2 ln x - 5 ln y ln 4 - 2 ln x + 5 ln y -8 ln x + 5 ln y

A
ln 4 - 2 ln x - 5 ln y
B
ln 4 - 2 ln x + 5 ln y
C
-8 ln x + 5 ln y
19

Solve: 3 ln x = ln 216

A
x = 3
B
x = 6
C
x = 72
20

Identify the solution set of 6 ln e = eln 2x

A
{2}
B
{3}
C
{6}

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