Logarithmic Properties and Rules

Logarithmic Properties and Rules

Assessment

Interactive Video

Mathematics, Science

9th - 12th Grade

Hard

Created by

Ethan Morris

FREE Resource

This video tutorial covers essential logarithm formulas and properties, including how to expand, condense, and convert logarithmic expressions. It explains special logarithm values, the change of base formula, and the differences between common and natural logarithms. The video also provides information on additional resources and practice problems to help students prepare for tests on logarithms.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the product rule for logarithms?

log A = log B

log(A^B) = B log A

log(A / B) = log A - log B

log(A * B) = log A + log B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the quotient rule for logarithms?

log A = log B

log(A^B) = B log A

log(A / B) = log A - log B

log(A * B) = log A + log B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express log(A^B) using the power rule?

log(A^B) = log A + log B

log(A^B) = log A - log B

log(A^B) = A log B

log(A^B) = B log A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of log base 5 of 1?

1

0

Undefined

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If log base a of a equals 1, what does a raised to the log base a of b equal?

0

1

b

a

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert log base a of b equals c to exponential form?

a^b = c

b^a = c

a^c = b

c^a = b

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the change of base formula for log base a of b?

log b - log a

log a * log b

log a / log b

log b / log a

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