Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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How did he mange to keep it a secret?

I will as soon as I can.

The logs are common or natural?

Also that is not the equation you gave in post #664. In post #664 you gave this equation

log(x+1) - 2logx^2=1

That is the equation I said does not have a root of 1 / 3.

Now you are giving this equation.

EbenezerSon wrote:

This is it;

log(x^2 + 1) - 2logx = 1

They are not the same.

Please rewrite the question, I have forgotten which one you are talking about.

Yes, but I have not debugged it yet.

I was able to continue the discussion without an exact definition.

It is rumored that he buried some silver bars, possibly in that area.

I know LQ pretty well. We have had long discussions. I am usually able to get his meaning.

Have you read the Andrew Hodges book about Alan Turing?

The answer to post #5 is waiting.

The larger the better. In a small sample it might be a something else.

More X's in the ciphertext than anything else suggests that X corresponds to e in the plaintext, but this is not certain; t and a are also very common in English, so X might be either of them also.