Logarithmic Properties and Applications
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the change of base formula in logarithms?
To integrate logarithmic functions
To convert logarithms to a base that is easier to calculate
To solve exponential equations
To find the derivative of a logarithmic function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct change of base formula for log base a of x?
ln(a) / ln(x)
log(x) / log(a)
log(a) / log(x)
ln(x) * ln(a)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of log base 4 of 25 using the change of base formula?
1.234
4.567
3.585
2.322
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property of logarithms allows you to split log base A of u times v into two separate logs?
Quotient property
Power property
Inverse property
Product property
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can log base A of u divided by v be rewritten using logarithmic properties?
log base A of u divided by log base A of v
log base A of u plus log base A of v
log base A of u minus log base A of v
log base A of u times log base A of v
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the power property of logarithms used for?
To add two logarithms
To bring down the exponent in front of the logarithm
To multiply two logarithms
To divide two logarithms
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the natural log of 6 be rewritten using the natural log of 2 and 3?
ln(2) + ln(3)
ln(2) - ln(3)
ln(2) * ln(3)
ln(2) / ln(3)
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