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Mathematics

11th Grade

Change of Base Logs
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13 questions

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1.

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

2.

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)  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the change of base property to rewrite as a single logarithm: \frac{\log15}{\log3}

log⁡ 15\log\ \frac{1}{5}  

log⁡5\log5  

log⁡153\log_{15}3  

log⁡315\log_315  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write logb(x/y) as two logs

logbx-logby

logbx+logby

logbx*logby

logbx/logby

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the change of base rule to rewrite this problem:

log364

log(64)/log(3)

log(3)/log(64)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the change of base rule to rewrite this problem:

log6216

log(6)/log(216)

log(216)/log(6)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What would the change base look like for:
  log6 48

log 8

log 6/log 48

log 48/log 6

ln 8

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