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Logarithm Skills Quiz

Authored by Kelly Armstrong

Mathematics

9th - 12th Grade

CCSS covered

Logarithm Skills Quiz
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense the logarithmic expression log⁡3x+2log⁡3y−log⁡3z\log_3 x + 2 \log_3 y - \log_3 z .

log⁡3x2yz\log_3 \frac{x^2y}{z}

log⁡3x2y2z\log_3 \frac{x^2y^2}{z}

log⁡3xy2z\log_3 \frac{xy^2}{z}

log⁡3x2yz\log_3 \frac{x^2}{yz}

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense the expression 5log⁡5x−12log⁡5y5 \log_5 x - \frac{1}{2} \log_5 y .

log⁡5x5y\log_5 \frac{x^5}{\sqrt{y}}

log⁡5x4.5\log_5 x^{4.5}

log⁡5x5y0.5\log_5 \frac{x^5}{y^{0.5}}

log⁡5xy\log_5 \frac{\sqrt{x}}{y}

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation log⁡10(2x+1)=2\log_{10}(2x+1) = 2 .

x=49.5x = 49.5

x=50x = 50

x=49x = 49

x=48.5x = 48.5

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand the expression log⁡4(x3y)2\log_4 \left(\frac{x^3}{y}\right)^2 .

6log⁡4x−2log⁡4y6 \log_4 x - 2 \log_4 y

3log⁡4x2−log⁡4y23 \log_4 x^2 - \log_4 y^2

2log⁡4x3−2log⁡4y2 \log_4 x^3 - 2 \log_4 y

3log⁡4x−log⁡4y3 \log_4 x - \log_4 y

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Expand the expression log⁡2(a4bc3)\log_2 \left(\frac{a^4b}{c^3}\right) .

4log⁡2a+log⁡2b−3log⁡2c4 \log_2 a + \log_2 b - 3 \log_2 c

log⁡2a4+log⁡2b−log⁡2c3\log_2 a^4 + \log_2 b - \log_2 c^3

4log⁡2a+3log⁡2c−log⁡2b4\log_2a+3\log_2c-\log_2b

log⁡2a4−log⁡2b3+log⁡2c\log_2 a^4 - \log_2 b^3 + \log_2 c

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense the expression 2log⁡9m+3log⁡9n−log⁡9p2 \log_9 m + 3 \log_9 n - \log_9 p .

log⁡9m2n3p\log_9 \frac{m^2 n^3}{p}

log⁡9m2+log⁡9n3−log⁡9p\log_9 m^2 + \log_9 n^3 - \log_9 p

log⁡9m2+n3p\log_9 \frac{m^2 + n^3}{p}

log⁡9m5/p\log_9 m^{5/p}

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Solve the equation for x.

7.389
0.693
0.0183
6.581

Tags

CCSS.HSF.BF.B.5

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