How to solve logarithms by converting to exponential form

How to solve logarithms by converting to exponential form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve logarithmic equations by converting them into exponential form. It begins with an introduction to the concept, followed by an example using base 5. The tutorial then covers solving exponential equations with variables as exponents, emphasizing the importance of eliminating bases. Finally, it demonstrates the complete solution to a logarithmic equation, providing a clear understanding of the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a logarithmic equation by converting it to exponential form?

Add 5 to both sides

Identify the base and the exponent

Multiply both sides by 4

Subtract 256 from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with base 5, what is the result of 5 raised to the power of 2?

5

10

20

25

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to have the same base when solving exponential equations?

To eliminate the variable

To equate the exponents

To add the exponents

To simplify the equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you solve for a variable in the exponent when the bases are equal?

By adding the exponents

By equating the exponents

By subtracting the exponents

By multiplying the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of X if 4 raised to the X + 5 equals 256?

4

-1

1

5