AnswersDHS Algebra 2 VBase e

Base e Answers

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1
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Identify the graph of y = ln x + 1.

A
Option
B
Option
C
Option
2
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ln 2 + ln 8 - ln 4

A
ln 4
B
ln 6
C
ln 64
3

-101e

A
-1
B
0
C
1
D
e
4

05 + x5ex✔ 5x

A
0
B
5 + x
C
5ex
D
✔ 5x
5

03e3e

A
0
B
3
C
e
D
3e
6

ln 16 - ln 8

A
ln 2
B
ln 8
C
ln 128
7

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
8

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
9

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
10

Solve: 4 ln x = 2 ln 25

A
x = 5
B
x = 25
C
x = 625
11

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

A
{6}
B
{-8, 8}
C
{8}
12

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

13

Identify the error in the student solution shown below. Find the correct answer.

Question illustration
Answer:

The student incorrectly rewrote ln(3x) - 0 as ln(3x/0), which is undefined. The correct solution is x = 3; x = 0 is extraneous.

14

Identify the graph of y = ex - 2.

A
Option
Option A
B
Option
Option B
C
Option
Option C
15

Identify the graph of y = ln x + 1.

A
Option
Option A
B
Option
Option B
C
Option
Option C
16

0✔ 3e3e

Answers:
ln e3 =:3
ln e2y =:2y
17

ln 16 - ln 8

A
ln 2
B
ln 8
C
ln 128
18

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
19

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

A
3 ln x
B
ln 3 - ln x
C
✔ ln 3 + ln x
20

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

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