AnswersFL-1200330-Algebra 2 CREvaluating Logarithmic Expressions

Evaluating Logarithmic Expressions Answers

0 verified answers2 views
1
Free Preview

What is the value of ?

Question illustration
A
–3
B
Negative one-third
Option B
C
One-third
Option C
D
3
2
Free Preview

Which equation has x = –6 as the solution?

A
log Subscript x Baseline 36 = 2
Option A
B
log Subscript 3 Baseline (2 x minus 9) = 3
Option B
C
log Subscript 3 Baseline 216 = x
Option C
D
log Subscript 3 Baseline (negative 2 x minus 3) = 2
Option D
3

What is the value of ?

Question illustration
A
1
B
2
C
4
D
8
4

A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.

A
–5.95
B
–4.60
C
3.25
D
4.60
5

What is the value of ?

Question illustration
A
Negative three-halves
Option A
B
Negative two-thirds
Option B
C
Two-thirds
Option C
D
Three-halves
Option D
6

What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.

A
0.1
B
0.3
C
1.1
D
2.6
7

What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.

A
0.6
B
1.6
C
3.8
D
4.7
8

What is the solution of ?

Question illustration
A
–18
B
–2
C
2
D
10
9

Which logarithmic equation is equivalent to 82 = 64?

A
2 = log Subscript 6 Baseline 64
Option A
B
2 = log Subscript 64 Baseline 8
Option B
C
8 = log Subscript 2 Baseline 64
Option C
D
64 = log Subscript 2 Baseline 8
Option D
10

What is the value of ?

Question illustration
A
–6
B
–2
C
2
D
6
11

Which equation is equivalent to ?

Question illustration
A
2 Superscript x Baseline = 36
Option A
B
x squared = 36
Option B
C
36 Superscript x Baseline = 2
Option C
D
x squared = 36 squared
Option D
12

Which equation is equivalent to ?

Question illustration
A
3 squared = left-bracket log Subscript 3 Baseline (x + 5) right-bracket cubed
Option A
B
2 cubed = left-bracket log Subscript 3 Baseline (x + 5) right-bracket squared
Option B
C
3 squared = x + 5
Option C
D
2 cubed = x + 5
Option D
13

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. Which equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake?

Question illustration
A
M = log StartFraction I Over S EndFraction
Option A
B
M = log (10 S)
Option B
C
M = log StartFraction 10 S Over S EndFraction
Option C
D
M = log StartFraction 10 Over S EndFraction
Option D
14

What is the solution of ?

Question illustration
A
4
B
5
C
15
D
20
15

What is the value of ?

Question illustration
A
2
B
3
C
4
D
5

Did you find these answers helpful?

More from this Course

Quiz
23 verified answers

Evaluating Logarithmic Expressions

Quiz
16 verified answers

Properties of Logarithms

Quiz
13 verified answers

Evaluating Logarithmic Expressions