Tutorial - Solving logarithmic equations ex 13, 2logx+log4=2

Tutorial - Solving logarithmic equations ex 13, 2logx+log4=2

Assessment

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Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a logarithmic equation using properties of logarithms. It begins by introducing the properties, such as raising a number to the power of a logarithm. The tutorial then applies these properties to transform and solve the equation. The solution involves rewriting the equation, using inverse operations, and evaluating the results. The tutorial concludes by identifying extraneous solutions and confirming the valid solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation derived from the logarithmic properties discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the common logarithm in the context of the problem.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are taken to isolate X in the equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is the solution X = -5 considered extraneous?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final solution for X and how is it derived?

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