How to solve a logarithmic equation using the quotient property

How to solve a logarithmic equation using the quotient property

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of solving logarithmic and exponential equations. It begins with an introduction to the concepts and the need to isolate functions. The teacher explains how to use properties of logarithms to combine and simplify equations. The lesson then demonstrates converting logarithmic equations to exponential form and solving them using calculations. The tutorial concludes with a recap of the key points discussed.

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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 an equation with two logarithms?

Use a calculator to approximate

Convert them to exponential form

Isolate one logarithmic function

Combine them using addition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the difference of two logarithms be expressed?

As a power

As a product

As a sum

As a quotient

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the natural logarithm 'Ln'?

1

e

2

10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After converting to exponential form, what is the next step to solve for the variable?

Divide both sides by the base

Add the base to both sides

Multiply both sides to isolate the variable

Subtract the base from both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of X when calculated using a calculator?

22.1

30.7

10.5

15.3