MathDB
(2^1998)(5^1998)

Source: 0

April 23, 2009
floor functionlogarithms

Problem Statement

Let A A, B B be the number of digits of 21998 2^{1998} and 51998 5^{1998} in decimal system. A \plus{} B \equal{} ?
<spanclass=latexbold>(A)</span> 1998<spanclass=latexbold>(B)</span> 1999<spanclass=latexbold>(C)</span> 2000<spanclass=latexbold>(D)</span> 3996<spanclass=latexbold>(E)</span> 3998<span class='latex-bold'>(A)</span>\ 1998 \qquad<span class='latex-bold'>(B)</span>\ 1999 \qquad<span class='latex-bold'>(C)</span>\ 2000 \qquad<span class='latex-bold'>(D)</span>\ 3996 \qquad<span class='latex-bold'>(E)</span>\ 3998