document.write( "Question 167703This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": In general, how do I find the logarithm of the answer
\n" ); document.write( "ex: evaluate 1776^53
\n" ); document.write( "I can get 53 Log 1776 = log x, but what is next? \n" ); document.write( "

Algebra.Com's Answer #123620 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
Edwin's solution follows:\r
\n" ); document.write( "\n" ); document.write( "In general, how do I find the logarithm of the answer
\n" ); document.write( "ex: evaluate $\"1776%5E53\"$
\n" ); document.write( "I can get $\"53%2Alog%281776%29+=+log%28x%29\"$ , but what is next?
\n" ); document.write( "

\r\n" );
document.write( "You could get your calculator and find  which is\r\n" );
document.write( " and then mutiply that by  to get\r\n" );
document.write( ". However that won't get you any closer\r\n" );
document.write( "to finding !\r\n" );
document.write( "\r\n" );
document.write( "That's because calculators as a rule can only work \r\n" );
document.write( "directly with numbers less than , \"1 google\".\r\n" );
document.write( "\r\n" );
document.write( "You can't get  on a calculator directly because \r\n" );
document.write( "that number is bigger than googol. Most calculators made today \r\n" );
document.write( "can do anything but give an overflow error message for a google \r\n" );
document.write( "and anything larger.  \r\n" );
document.write( "\r\n" );
document.write( "However you can get larger numbers indirectly on your calculator.\r\n" );
document.write( "\r\n" );
document.write( "On my calculator I find that I can get  \r\n" );
document.write( "directly as \r\n" );
document.write( "\r\n" );
document.write( "However when I try to get  I get an overflow\r\n" );
document.write( "error message.  \r\n" );
document.write( "\r\n" );
document.write( "We can break  down this way:\r\n" );
document.write( "\r\n" );
document.write( " both of which can be \r\n" );
document.write( "found on the calculator:\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then we can multiply those decimal parts,  \r\n" );
document.write( "\r\n" );
document.write( "then add the exponents of ten and get \r\n" );
document.write( "\r\n" );
document.write( "So therefore\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "However, that's not in scientific notation because \r\n" );
document.write( "is not less than 10, so we write it in scientific notation as\r\n" );
document.write( ", then substituting we have\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "or adding the exponents of ten:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Notice that we could have broken  down in a number\r\n" );
document.write( "of other ways, for example:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "so\r\n" );
document.write( ".\r\n" );
document.write( "\r\n" );
document.write( "And so we have, as above:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There is a slight difference between the two.  I would guess\r\n" );
document.write( "that that latter is closer to the true value, but we could\r\n" );
document.write( "safely round either answer to this: \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );