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Mathematics

11th Grade

Change Base Formula for Logs
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write logb(x/y) as two logs

logbx-logby

logbx+logby

logbx*logby

logbx/logby

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which property of logarithms is demonstrated below:
 log⁡920 = log⁡20log⁡9\log_920\ =\ \frac{\log20}{\log9}

Product property

Quotient property

Power property

Change of Base Property

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write logb(xy) as two logs

logbx+logby

logbx-logby

logbx*logby

logbx/logby

4.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Use the change of base rule to simplify.  Round your answer to the nearest thousandth:


log⁡420\log_420  


(a)  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Using the change of base rule, what is this logarithm equivalent to?

A

B

C

D

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Use the change-of-base formula to evaluate the logarithm. Round your answer to the nearest thousandth. log⁡1323 =\log_{13}23\ = _____.

1.2221.222

Mathematical Equivalence

OFF

7.

MATH RESPONSE QUESTION

1 min • 5 pts

Use the change of base formula to evaluate the logarithm.

(Round your answer to four decimal places)

log⁡635\log_635

1.98431.9843

Mathematical Equivalence

OFF

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