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Log Test A (Multiple Choice)

Authored by Subodh Bhandari

Mathematics

11th Grade

Used 2+ times

Log Test A (Multiple Choice)
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12 questions

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1.

MULTIPLE SELECT QUESTION

10 mins • 1 pt

Identify the key features of the graph of the logarithm y = log(x - 1) + 7.

Domain: x > 1, Range: All real numbers, Vertical Asymptote: x = 1

Domain: x > 0, Range: All real numbers, Vertical Asymptote: x = 0

Domain: x > 1, Range: y > 7, Vertical Asymptote: x = 1

Domain: x > 0, Range: y > 7, Vertical Asymptote: x = 0

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Expand the logarithmic expression: log⁡313p3\log_3 13p^3 .

log⁡313+3log⁡3p\log_3 13 + 3\log_3 p

log⁡313+log⁡3p\log_3 13 + \log_3 p

3log⁡313+3log⁡3p3\log_3 13 + 3\log_3 p

log⁡313p\log_3 13p

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Expand the logarithmic expression: log⁡35c\log_3 \frac{5}{c} .

log⁡35−log⁡3c\log_3 5 - \log_3 c

log⁡35+log⁡3c\log_3 5 + \log_3 c

log⁡35−c\log_3 5 - c

log⁡3(5−c)\log_3 (5 - c)

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Write the expression as a single logarithm: 3log⁡bq + 6log⁡bv3\log_bq\ +\ 6\log_bv

logb(q3v6)log_b (q^3 v^6)

logb(q6v3)log_b (q^6 v^3)

logb(q3v)log_b (q^3 v)

logb(qv6)log_b (qv^6)

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Write the expression as a single logarithm: log⁡750−log⁡75\log_750-\log_75 .

log⁡7250\log_7 250

log⁡750\log_7 50

log⁡755\log_7 55

log⁡710\log_7 10

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Write the expression as a single logarithm: 4log x - 6log(x + 2).

log ( x4(x+2)6\frac{x^4}{(x+2)^6} )

log ( x6(x+2)4\frac{x^6}{(x+2)^4} )

log(x4(x+2)6)log(x^4(x + 2)^6)

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Use your preferred method to evaluate: log₃ 91.

4.1

3.5

2.5

1.5

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