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Can you tell me what's wrong? I suppose two observers. They measure speed of light. One observer is in rocket of length L. Observer in rocket measured speed

[tex]C'=\frac{L}{t'}[/tex]

and t' is time from observer's view. Second observer is outside. He measured

[tex]C=\frac{L+vt}{t}[/tex]

where v is speed of rocket. As C' = C, we have

[tex]\frac{L+vt}{t}=\frac{L}{t'}\quad\Rightarrow\quad t'=\frac{t}{1+\frac{vt}{L}}=\quad\Rightarrow\quad t'=\frac{t}{1+\frac{v}{c}}[/tex]

But this is not

[tex]t' = \frac{t}{\sqrt{1-v^2/c^2}}[/tex]

known from theory. Thanks.