04 - Solving Logarithmic Equations - Part 1 - Equations with Log(x)

In this lesson, you will learn how to solve logarithmic equations, which are just equations that contain logarithms. There are several methods to solve these types of equations. One method is to convert the logarithm to an exponential representation. Another technique is to change the base of the logarithm to make the equation easier to solve. We will use these methods to solve logarithmic equations and practice skills.

[semtex]

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[mikerich]

When I solve logarithmic equations, I find the domain of each equation first. In the first problem I notice that the domain is x > 6. Since x = -3 violated the domain, it was automatically rejected. Thus only x = 9 works after doing the check. Thanks much for providing the VISUAL of the logarithmic function to show that the logarithm of zero or any negative values are UNDEFINED.

[shavala]

Dear Sir, thank you for a great way to explain all your lessons. I am older now and for years I wanted to understand Logarithms. You make it so clear and even the unit circle. I never, never understood it. I was great at algebra 1 and 2, but the other. Again There aren't any words enough to say What a great Teacher. Keep up the great Lessons.:)

[math]

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Some information is stored along the negative root indicating a third phase contributing to unimaginable along inverse operation.

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[hemarajue]

If we have product of logs equations, I think we need use its inverse companion i.e exponential.

One of the core purpose of our learning is to realize our strengths(abilities) and weaknesses (barriers to learn)and act upon it.