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## Main Question or Discussion Point

I have the given equation: (6^x+6^-x)/6 = 2. How do you solve this?

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I have the given equation: (6^x+6^-x)/6 = 2. How do you solve this?

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arildno

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1. Multiply your equation with [tex]6^{x}[/tex]

2. You have now a quadratic equation in the unknown [tex]y=6^{x}[/tex]

As an alternative, use the identity:

[tex]Cosh(t)=\frac{e^{t}+e^{-t}}{2}[/tex]

2. You have now a quadratic equation in the unknown [tex]y=6^{x}[/tex]

As an alternative, use the identity:

[tex]Cosh(t)=\frac{e^{t}+e^{-t}}{2}[/tex]

Last edited:

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