Learn how to condense a logarithmic expression with multiple logs

Learn how to condense a logarithmic expression with multiple logs

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to rewrite and simplify logarithmic expressions by converting them into powers. It covers the process of simplifying expressions using rational and radical forms, applying the order of operations, and condensing expressions. The tutorial concludes with the final simplification of a logarithmic expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rewriting a logarithmic expression with a coefficient in front?

Subtract the coefficient from the logarithm

Add the coefficient to the base

Rewrite the coefficient as a power

Multiply the coefficient by the logarithm

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express x^(1/3) using radicals?

Square root of x

Fifth root of x

Cube root of x

Fourth root of x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent radical form of x^(1/2)?

Fourth root of x

Fifth root of x

Cube root of x

Square root of x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When condensing logarithmic expressions, what should be done first according to the order of operations?

Apply the quotient property

Condense inside the parentheses

Simplify the entire expression

Multiply all terms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression log base 4 of 36/9, what is the simplified form?

log base 4 of 6

log base 4 of 9

log base 4 of 3

log base 4 of 4