L is any integer other than a power of 10. M is any integer. Show that there is an integral power of L that begins with the sequence of digits given in M.

(In reply to Might be the solution by Praneeth)

How do we know that

"We can find x such that
logM+x = (k-á)logL where á is approximately 0 for some k"

?

 

and

How is

"Then log(M+1)+x = logM*(1+1/M)+x"

derived from what preceded?

Posted by Charlie on 2008-02-01 10:56:26