- #1

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## Homework Statement

Find all possible values of x:

x

^{2}= 3

^{x}

## Homework Equations

## The Attempt at a Solution

I took the log of both sides.. didn't get anywhere. I'm not sure where to start.

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- Thread starter Benn
- Start date

- #1

- 34

- 0

Find all possible values of x:

x

I took the log of both sides.. didn't get anywhere. I'm not sure where to start.

- #2

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- #3

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okays... thanks a lot!

- #4

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[tex] 3^{-1}<(-1)^2 [/tex]

[tex] 3^0 > 0^2 [/tex]

- #5

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[tex]x=-\sqrt{3^x}[/tex]

This converges to the solution fairly quickly. Quickly by fixed point iteration standards, that is. Fixed point iteration is rarely fast.

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