I was able to simplify until it became

Then I said: Let and let

so it becomes

I don't know where to go from there. I'm trying to get a system of equation, but I can't seem to get another equation.

Thanks in advance.

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- Nov 20th 2012, 08:54 PMmiguel11795Logarithmic Equation

I was able to simplify until it became

Then I said: Let and let

so it becomes

I don't know where to go from there. I'm trying to get a system of equation, but I can't seem to get another equation.

Thanks in advance. - Nov 20th 2012, 09:01 PMMarkFLRe: Logarithmic Equation
What is the original problem in its entirety?

- Nov 20th 2012, 09:12 PMmiguel11795Re: Logarithmic Equation
The original problem is the first equation.

- Nov 20th 2012, 09:31 PMMarkFLRe: Logarithmic Equation
You may factor as .

- Nov 20th 2012, 09:48 PMmiguel11795Re: Logarithmic Equation
Thank you, but I'm still unsure about where to go from there. How can we find a value for x?

- Nov 20th 2012, 09:57 PMMarkFLRe: Logarithmic Equation
This gives you two equations using the zero-factor property:

i)

ii)

Now, solve the two equations for real roots, and keep in mind we require . - Nov 20th 2012, 10:05 PMmiguel11795Re: Logarithmic Equation
Oh. I completely forgot about that property. Thank you. :)