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You can put this solution on YOUR website!
Without using a calculator or computer, determine which is larger, 2^3000 or 3^2000\r
\n" ); document.write( "\n" ); document.write( "2^1=2
\n" ); document.write( "2^2=4
\n" ); document.write( "2^3=8
\n" ); document.write( "2^4=16
\n" ); document.write( "2^5=32
\n" ); document.write( "2^10=32*32=32*30+32*2=960+64=1024
\n" ); document.write( "2^9=512\r
\n" ); document.write( "\n" ); document.write( "3^1=3
\n" ); document.write( "3^2=9
\n" ); document.write( "3^3=27
\n" ); document.write( "3^4=27*3=20*3+7*3=60+21=81
\n" ); document.write( "3^5=243
\n" ); document.write( "3^6=729
\n" ); document.write( "3^10=243*243=243*240+243*3=243*24*10+240*3+3*3=(243*20+243*4)*10+720+9
\n" ); document.write( "3^10=(243*2*10+243*4)*10+720+9
\n" ); document.write( "3^10=(4860+972)*10+729
\n" ); document.write( "3^10=(4860+900+40+32)*10+729
\n" ); document.write( "3^10=(5760+40+32)*10+729
\n" ); document.write( "3^10=58320+729=59020+29=59049 (yes did this without a calculator , just a matter of breaking it down into simpler parts)\r
\n" ); document.write( "\n" ); document.write( "do not think will go much further in powers, it begins to get really hard without a calculator\r
\n" ); document.write( "\n" ); document.write( "but it seems obvious to me that 3 to a power is climbing a lot faster than 2 to a power\r
\n" ); document.write( "\n" ); document.write( "so I am gonna say 3^2000 is bigger
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