
Understanding the Product Rule for Logarithms

Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Hard

Liam Anderson
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the product rule for logarithms allow you to do?
Convert a logarithm to an exponential form
Divide one logarithm by another
Rewrite a logarithm of a product as a sum of logarithms
Multiply two logarithms together
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression log base B of 2xyz, how many logarithms can it be split into using the product rule?
Five
Three
Two
Four
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying the product rule to log base B of 2xyz, which of the following is NOT a correct component?
log base B of y
log base B of 2
log base B of xy
log base B of x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the number 15 be expressed using prime factors in the context of logarithms?
5 * 3
2 * 7
3 * 5
7 * 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression log base 2 of 15x(7x+2), why can't the last term be split into separate logarithms?
Because it is a prime number
Because it contains a variable
Because it is a sum, not a product
Because it is already in its simplest form
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a correct application of the product rule to log base 2 of 15x(7x+2)?
log base 2 of 15 + log base 2 of x + log base 2 of 7x + log base 2 of 2
log base 2 of 3 + log base 2 of 5 + log base 2 of x + log base 2 of (7x+2)
log base 2 of 3 + log base 2 of 5 + log base 2 of x + log base 2 of 7 + log base 2 of 2
log base 2 of 15 + log base 2 of x + log base 2 of 7 + log base 2 of 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key takeaway regarding sums within logarithmic expressions?
Sums cannot be split into separate logarithms
Sums can be converted to differences
Sums can always be split into products
Sums are irrelevant in logarithmic expressions
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to recognize non-factorable sums in logarithmic expressions?
To avoid incorrect application of the product rule
To simplify the expression further
To multiply them by a constant
To convert them into exponential form
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