Pre-Calculus - Learn How To Evaluate a Logarithmic Expression

Pre-Calculus - Learn How To Evaluate a Logarithmic Expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial addresses a mathematical problem involving radicals and logarithms. It begins by acknowledging the initial confusion and proceeds to demonstrate how to eliminate the radical from the equation. The instructor explains the concept of natural logarithms, emphasizing the equivalence of Ln and log base E. The tutorial concludes by applying logarithm rules to solve the problem, highlighting that the process is consistent regardless of the logarithm type.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step suggested to simplify the given problem?

Add a constant to both sides

Multiply by a factor

Change the base

Eliminate the radical

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of a natural logarithm?

10

e

2

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the natural logarithm of a number typically denoted?

log2(x)

ln(x)

log(x)

log10(x)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key rule about logarithms and natural logarithms discussed in the final section?

They have different rules

They follow the same process

They cannot be simplified

They are unrelated

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified result of the expression discussed?

1/5

1/2

1/3

1/4