Properties of Logarithms Answers
6 verified answers2 views
1
Free Preview
Which expression is equivalent to ?
A
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c
B
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a + (log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c)
C
log Subscript 8 Baseline 4 a + log Subscript 8 Baseline b minus 4 minus 4 log Subscript 8 Baseline c minus 4
D
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus log Subscript 8 Baseline 4 c
2
Free Preview
Which expression is equivalent to ?
A
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
B
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
C
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
D
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
3
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
4
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
5
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.6
What is rewritten using the power property?
A
log Subscript 15 Baseline 5
B
log Subscript 15 Baseline 6
C
2 log Subscript 15 Baseline 3
D
3 log Subscript 15 Baseline 2
7
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.Did you find these answers helpful?
Verified answers available
TRY EDGENUITY HACKS
- Auto Complete Exams
- Auto Complete Assignments
- Skip Videos Instantly
50,000+ students using this