Properties of Logarithms Answers
8 verified answers3 views
1
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Given and , what is ?
A
1.404B
1.739C
2.773D
2.9882
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Which expression is equivalent to ?
A
log Subscript 3 Baseline c + log Subscript 3 Baseline (9)
B
log Subscript 3 Baseline (9) + log Subscript 3 Baseline (c)
C
log Subscript 3 Baseline c minus log Subscript 3 Baseline (9)
D
log Subscript 3 Baseline (9) minus log Subscript 3 Baseline (c)
3
Which expression is equivalent to ?
A
log Subscript 3 Baseline c + log Subscript 3 Baseline (9)B
log Subscript 3 Baseline (9) + log Subscript 3 Baseline (c)C
log Subscript 3 Baseline c minus log Subscript 3 Baseline (9)D
log Subscript 3 Baseline (9) minus log Subscript 3 Baseline (c)4
What is written as a single log?
A
log Subscript 5 Baseline 21
B
log Subscript 5 Baseline 26
C
log Subscript 5 Baseline 30
D
log Subscript 5 Baseline 56
5
What is written as a single logarithm?
A
log Subscript 3 Baseline 2 z
B
log Subscript 3 Baseline 2 z squared
C
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
D
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
6
The table shows a student’s proof of the quotient rule for logarithms.Let M = bx and N = by for some real numbers x and y. StepReason1Given2Substitution3Properties of logarithms4Logarithm property logb(bc) = c5SubstitutionWhat is the error in the proof?
A
The error is in step 3. The reason should be the quotient property of exponents.B
The error is in step 3. You cannot use a property of logarithms to prove that same property.C
The error is in step 2. The reason should be the quotient property of exponents.D
The error is in step 5. The student did not convert from exponential to logarithmic form correctly when solving for x and y.7
Given and , what is ?
A
1.118B
1.893C
2.402D
3.5428
Which expression is equivalent to log18 – log(p + 2)?
A
log StartFraction p + 2 Over 18 EndFraction
B
log StartFraction 18 Over p + 2 EndFraction
C
log StartFraction 20 Over p EndFraction
D
log left-bracket 18 times (p + 2) right-bracket
9
What is written as a single logarithm?
A
log Subscript 5 Baseline (25 x Superscript 5 Baseline) RootIndex 3 StartRoot x squared + 6 EndRot
B
log Subscript 5 Baseline (25 x Superscript 6 Baseline) RootIndex 3 StartRoot x squared + 6 EndRoot
C
log Subscript 5 Baseline 25 x Superscript 5 Baseline + log Subscript 5 Baseline 2 + log one-third x squared
D
(log Subscript 5 Baseline 25 + log Subscript 5 Baseline Superscript 6 Baseline) (log Subscript 5 Baseline RootIndex 3 StartRoot x squared + 6 EndRoot)
10
What is written as a single log?
A
log Subscript 5 Baseline 21B
log Subscript 5 Baseline 26C
log Subscript 5 Baseline 30D
log Subscript 5 Baseline 56Did you find these answers helpful?
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