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How do I get the index in the sequence from the Fibonacci number?

0 1 1 2 3 5 8 13 21 34...

For example

N(3) = 2 4 (starting from zero)

N(34) = 9 (starting from zero)

..

N(X) = ?

I've seen an equation in wikipedia

alt text

There are other ways to compute it?

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serial fibonacci index from number Fibonacci sequence inversion

How do I get the index of in the serie sequence from the Fibonacci number?

0 1 1 2 3 5 8 13 21 34...

For example

N(3) = 2 (starting from zero)

N(34) = 9 (starting from zero)

..

N(X) = ?

I've seen an equation in wikipedia

alt text

There are other ways to compute it?

show/hide this revision's text 1

serial fibonacci index from number

How I get the index of the serie from the number?

0 1 1 2 3 5 8 13 21 34...

For example

N(3) = 2 (starting from zero)

N(34) = 9 (starting from zero)

..

N(X) = ?

I've seen an equation in wikipedia

alt text

There are other ways to compute it?