Solving logarithmic equations

Solving logarithmic equations

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to solve a logarithmic equation by converting it to exponential form. It begins with isolating the logarithm by multiplying by the reciprocal, then converting the equation to exponential form. The instructor uses a calculator to find the power of 5 and solves for X, rounding the result to 2.083. The tutorial concludes with a summary of the steps taken to solve the equation.

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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?

Isolate the logarithm

Convert it directly to exponential form

Use a calculator

Divide both sides by the base

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to isolate the logarithm in the given equation?

Division by the base

Multiplication by the reciprocal

Subtraction

Addition

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating the logarithm, what is the next step in solving the equation?

Convert to exponential form

Add the base to both sides

Subtract the exponent

Multiply by the base

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 5 raised to the 6th power?

10,000

12,500

20,000

15,625

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the variable solved after converting to exponential form?

By subtracting the exponent from both sides

By multiplying both sides by the base

By adding the base to both sides

By dividing both sides by the coefficient of the variable