Question
The Quotient Rule of Logarithms Quick Check
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Answers
GPT 3.5
I'm sorry, but I cannot provide the items for the Quotient Rule of Logarithms Quick Check as I do not have access to specific questions or answers. I suggest referring to your textbook or asking your teacher for the questions and answers to complete the quick check.
hi
Using numerical analysis and the Power Rule of Logarithms, log x^k = k log x, how can log (1/100) be rewritten? (1 point)
Responses
10 log−2
10 logarithm negative 2
−2 log 10
negative 2 logarithm 10
2 log−10
2 logarithm negative 10
log−20
and this
Using numerical analysis and the Quotient Rule of Logarithms, how can log 11 (14/t) be rewritten? (1 point)
Responses
log 11 (14−t)
logarithm subscript 11 baseline left parenthesis 14 minus t right parenthesis
log 11 14 + log 11 t
logarithm subscript 11 baseline 14 plus logarithm subscript 11 baseline t
log 11 t−log 11 14
logarithm subscript 11 baseline t minus logarithm subscript 11 baseline 14
log 11 14−log 11 t
and this
Using numerical analysis and the Quotient Rule of Logarithms, how can log (r^3/n^2) be rewritten?(1 point)
Responses
3 log r−2 log n
3 logarithm r minus 2 logarithm n
2 log n−3 log r
2 logarithm n minus 3 logarithm r
3 log r+2 log n
3 logarithm r plus 2 logarithm n
3 log r/2 log n
and this
Using the properties log b(1/m) =−log b m and log b(m/n) = log b m−log b n, how can ln 11−3 ln p be condensed? (1 point)
Responses
ln (11−p^3)
l n left parenthesis 11 minus p cubed right parenthesis
ln (11−3p)
l n left parenthesis 11 minus 3 p right parenthesis
ln (11/3p)
l n left parenthesis Start Fraction 11 over 3 p End Fraction right parenthesis
ln (11/p^3)
and this
Using the Quotient Rule of Logarithms, the Product Rule of Logarithms, and the Power Rule of Logarithms, how can log(x^2/5y) be fully expanded?(1 point)
Responses
log x−log 5−log y
logarithm x minus logarithm 5 minus logarithm y
2 log x−log 5−log y
2 logarithm x minus logarithm 5 minus logarithm y
log x^2−log (5y)
logarithm x squared minus logarithm left parenthesis 5 y right parenthesis
2 log x−log (5y)
2 logarithm x minus logarithm left parenthesis 5 y right parenthesis
what are the correct answers for all 5 questions?
Responses
10 log−2
10 logarithm negative 2
−2 log 10
negative 2 logarithm 10
2 log−10
2 logarithm negative 10
log−20
and this
Using numerical analysis and the Quotient Rule of Logarithms, how can log 11 (14/t) be rewritten? (1 point)
Responses
log 11 (14−t)
logarithm subscript 11 baseline left parenthesis 14 minus t right parenthesis
log 11 14 + log 11 t
logarithm subscript 11 baseline 14 plus logarithm subscript 11 baseline t
log 11 t−log 11 14
logarithm subscript 11 baseline t minus logarithm subscript 11 baseline 14
log 11 14−log 11 t
and this
Using numerical analysis and the Quotient Rule of Logarithms, how can log (r^3/n^2) be rewritten?(1 point)
Responses
3 log r−2 log n
3 logarithm r minus 2 logarithm n
2 log n−3 log r
2 logarithm n minus 3 logarithm r
3 log r+2 log n
3 logarithm r plus 2 logarithm n
3 log r/2 log n
and this
Using the properties log b(1/m) =−log b m and log b(m/n) = log b m−log b n, how can ln 11−3 ln p be condensed? (1 point)
Responses
ln (11−p^3)
l n left parenthesis 11 minus p cubed right parenthesis
ln (11−3p)
l n left parenthesis 11 minus 3 p right parenthesis
ln (11/3p)
l n left parenthesis Start Fraction 11 over 3 p End Fraction right parenthesis
ln (11/p^3)
and this
Using the Quotient Rule of Logarithms, the Product Rule of Logarithms, and the Power Rule of Logarithms, how can log(x^2/5y) be fully expanded?(1 point)
Responses
log x−log 5−log y
logarithm x minus logarithm 5 minus logarithm y
2 log x−log 5−log y
2 logarithm x minus logarithm 5 minus logarithm y
log x^2−log (5y)
logarithm x squared minus logarithm left parenthesis 5 y right parenthesis
2 log x−log (5y)
2 logarithm x minus logarithm left parenthesis 5 y right parenthesis
what are the correct answers for all 5 questions?
GPT 3.5
For the first question, using the Power Rule of Logarithms, log (1/100) can be rewritten as -2 log 10.
For the second question, using the Quotient Rule of Logarithms, log 11 (14/t) can be rewritten as log 11 14 - log 11 t.
For the third question, using the Quotient Rule of Logarithms, log (r^3/n^2) can be rewritten as 3 log r - 2 log n.
For the fourth question, using the properties log b(1/m) = -log b m and log b(m/n) = log b m - log b n, ln 11 - 3 ln p can be condensed as ln (11/p^3).
For the fifth question, using the Product Rule of Logarithms, the Quotient Rule of Logarithms, and the Power Rule of Logarithms, log(x^2/5y) can be fully expanded as 2 log x - log 5 - log y.
So, the correct answers are:
1) -2 log 10
2) log 11 14 - log 11 t
3) 3 log r - 2 log n
4) ln (11/p^3)
5) 2 log x - log 5 - log y
For the second question, using the Quotient Rule of Logarithms, log 11 (14/t) can be rewritten as log 11 14 - log 11 t.
For the third question, using the Quotient Rule of Logarithms, log (r^3/n^2) can be rewritten as 3 log r - 2 log n.
For the fourth question, using the properties log b(1/m) = -log b m and log b(m/n) = log b m - log b n, ln 11 - 3 ln p can be condensed as ln (11/p^3).
For the fifth question, using the Product Rule of Logarithms, the Quotient Rule of Logarithms, and the Power Rule of Logarithms, log(x^2/5y) can be fully expanded as 2 log x - log 5 - log y.
So, the correct answers are:
1) -2 log 10
2) log 11 14 - log 11 t
3) 3 log r - 2 log n
4) ln (11/p^3)
5) 2 log x - log 5 - log y
hi
you got all of them correct thank you
GPT 3.5
You're welcome! I'm glad to hear that the answers were correct. If you have any more questions, feel free to ask.