Logarithmic Properties and Simplifications

Logarithmic Properties and Simplifications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers logarithmic properties, including multiplication, division, and exponent rules. It provides examples of equivalent logarithmic expressions and demonstrates how to expand and simplify them using algebraic techniques. The tutorial also explains how to combine expanded logarithmic expressions into single logs, offering a comprehensive understanding of logarithmic manipulation.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product rule for logarithms?

log_b(M/N) = log_b(M) - log_b(N)

log_b(1) = 0

log_b(M^p) = p * log_b(M)

log_b(MN) = log_b(M) + log_b(N)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express log_b(M/N) using the quotient rule?

log_b(M^N)

log_b(MN)

log_b(M) - log_b(N)

log_b(M) + log_b(N)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power rule for logarithms state?

log_b(M^p) = p * log_b(M)

log_b(M/N) = log_b(M) - log_b(N)

log_b(MN) = log_b(M) + log_b(N)

log_b(1) = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of log_b(b)?

0

1

Undefined

b

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is X^(1/2) related to roots?

It is the cube root of X

It is the square root of X

It is the fourth root of X

It is the fifth root of X

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify log base B of 25 to the 1/2.

log base B of 25

log base B of 50

log base B of 10

log base B of 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is log base B of 125 over 25 equivalent to?

log base B of 50

log base B of 10

log base B of 25

log base B of 5

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