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Quarter 4 Week 5-Logarithm Properties
By Dana Heleniak
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Last updated about 5 hours ago
8 questions
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Click here for a video of Mrs. Heleniak going through this formative!
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Question 1
1.
I'm thrilled to get 7 answers from 11.2.a Logarithmic Properties!
True
False
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Question 2
2.
Simplify using the properties of logarithms: \log_{7}4xy + \log_{7}2xy
1
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Question 4
4.
Simplify using the properties of logarithms: \log_{7}4xy - \log_{7}2xy
1
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Question 6
6.
Simplify using the properties of logarithms: \log_{9}x^{2}
1
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Question 8
8.
Why can't this expression be combined? \log_{2}5-\log_{5}2
The bases are not the same
The arguments are not the same
Answers for 11.2.a
Check back at your 7 answers-correct them if necessary, and use them in 11.2.a!
\log_{7}8
\log_{7}8x^{2}y^{2}
\log_{7}x^{2}y^{2}
\log_{7}2xy
Question 3
3.
Simplify using the properties of logarithms: \log_{9}15 + \log_{9}2
\log_{7}2
\log_{7}2xy
\log_{7}4
\log_{7}4xy
Question 5
5.
Simplify using the properties of logarithms: \log_{9}15 - \log_{9}2
x\log_{9}2
\log_{9}2x
\log_{9}4x
2\log_{9}x
When using the power rule, the
coefficient
of the logarithm applies to everything in the
argument
of the logarithm, not just the variable.
For example, 4\log10ab = \log(10ab)^{4} = \log10^{4}a^{4}b^{4} = \log10,000a^{4}b^{4}
Question 7
7.
Simplify using the properties of logarithms: {3\log2x }
\log8x^{3}
\log2x
\log2x^{3}
\log6x
5 is not divisible by 2
2 is not divisible by 5