A=12, B= 4, and D=7, learn the X.

It is easy and true in Excel. Type a guess of X in a cell A1, then below the guess, type … =12*Log(4*A1+7) Then copy the cell A2 to about 30 cells. An the X number will change until the X is right. It will stop changing when it can use the lots of equations. ]]>

If you just want to play, push me.

This is hint #3.

I am _______________ ?

]]>The cards are sorted and Charlie decides to only use the Red cards (Hearts & Diamonds).

Three [3] cards are dealt one-at-a-time to each of the four [4] players. Highest pair wins; Aces are low.

If no one wins, the cards are shuffled and re-dealt until there is a winner.

What are the odds of Charlie dealing himself a pair of 10’s AND **winning**?

Loop 1 is =10+LOG(20*D4) the D4 is the guessed number above it. (Cell D4 where I guess 100)

Eash loop uses X for the number above it and before 20 loops it stops changing.

Guess a X 100 Changed =

Loop 1 13.30102999566400000000 -86.698970004336000

Loop 2 12.42491526851930000000 -0.876114727144710

Loop 3 12.39532343141620000000 -0.029591837103039

Loop 4 12.39428785897010000000 -0.001035572446172

Loop 5 12.39425157414140000000 -0.000036284828671

Loop 6 12.39425030272310000000 -0.000001271418261

Loop 7 12.39425025817260000000 -0.000000044550490

Loop 8 12.39425025661160000000 -0.000000001561048

Loop 9 12.39425025655690000000 -0.000000000054699

Loop 10 12.39425025655500000000 -0.000000000001917

Loop 11 12.39425025655490000000 -0.000000000000068

Loop 12 12.39425025655490000000 0.000000000000000

Loop 13 12.39425025655490000000 0.000000000000000

Loop 14 12.39425025655490000000 0.000000000000000

Loop 15 12.39425025655490000000 0.000000000000000

Loop 16 12.39425025655490000000 0.000000000000000

Loop 17 12.39425025655490000000 0.000000000000000

Loop 18 12.39425025655490000000 0.000000000000000

Loop 19 12.39425025655490000000 0.000000000000000

Loop 20 12.39425025655490000000 0.000000000000000 ]]>

To compute X, when X is on both sides of the equation,

but one side, the X, and maybe other numbers are in a Log,

you can easily compute the X easy.

Example, find the X to several digits when X=10+Log(20*X).

Just guess an X and compute the =10+Log(20*X).

Then use the solution for the next X as a new loop.

Then if you guess the first X as 1 to 1000 the X can be

computed to many digits in about 8 loops.

So compute this X to about 10 digits.

Example: First use any number for the first X.

If you use X=1 for the first X the first loop will give 11.301029995664

If you use X=100 for the first X the first loop will give 13.301029995664

Then use the first loop X, for the next X loop. After some loops the

X will stop changing. But if you need about 100 digits, it might take

about 30 loops

Find the missing number

5 : 24 :: 8 : x

Options are:

a. 65

b. 63

c. 62

d. 64

Example: If the initial volumes are 17, 8, 5 the sequence of volumes could be

R(0) R(1) R(2)

17 8 5

17 3 10

17 6 7

17 12 1

16 12 2

14 12 4

14 8 8

14 16 0 => R(2) is finally empty.

]]>For example f(12345) = 23451

What is the smallest strictly positive integer n such that f(n) = 1.5 n

]]>a! b! = a! + b! + c! ]]>