AnswersMathematics IIIProperties of Logarithms

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3

Which expression is equivalent to log sub 12 of open bracket 1 half over 8 w close bracket ?

A
the log base 12 of 8 minus the log base 12 of 1 half plus the log base 12 of w
B
the log base 12 of 1 half minus open paren the log base 12 of 8 plus the log base 12 of w close paren
C
the log base 12 of 1 half minus the log base 12 of 8 plus the log base 12 of w
D
log sub 12 times 1 half divided by log sub 12 8 plus the log base 12 of w
4

Which of the following is equivalent to the log of 1 ninth over k ?

A
log times 1 ninth divided by log k
B
log times 1 ninth times log k
C
log 1 ninth minus log k
D
log 1 ninth plus log k
5

Which of the following is equivalent to log 9 ?

A
9 times log w
B
log 9 plus log w
C
w times open paren log 9 close paren
D
log 9 minus log w
6

What is log sub 15 2 cubed rewritten using the power property?

A
3 log sub 15 2
B
2 log sub 15 3
C
the log base 15 of 5
D
the log base 15 of 6
7

Which expression is equivalent to log 18 minus the log of open paren p plus 2 close paren ?

A
the log of the fraction with numerator p plus 2 and denominator 18
B
the log of the fraction with numerator 18 and denominator p plus 2
C
the log of open bracket 18 times open paren p plus 2 close paren close bracket
D
the log of 20 over p
8

What is log sub 5 of open paren 4 times 7 close paren plus the log base 5 of 2 written as a single log?

A
the log base 5 of 56
B
the log base 5 of 30
C
the log base 5 of 21
D
the log base 5 of 26
9

Which expression is equivalent to the log of 3 ?

A
log 3 plus the log of open paren x plus 4 close paren
B
log 3 divided by log times open paren x plus 4 close paren
C
log 3 minus the log of open paren x plus 4 close paren
D
log 12 plus log x
10

Which expression is equivalent to log sub 3 c over 9 ?

A
log sub 3 of 9 minus log sub 3 of c
B
the log base 3 of c minus log sub 3 of 9
C
the log base 3 of c plus log sub 3 of 9
D
log sub 3 of 9 plus log sub 3 of c

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