document.write( "Question 1142057: What, approximately, is log2 32? \n" ); document.write( "
Algebra.Com's Answer #762704 by Theo(13342)![]() ![]() You can put this solution on YOUR website! log2(32) = y if and only if 2^y = 32.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2^y = 32 when y = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get 2^5 = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can confirm this is true by using your calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also solve for y by using the lob base conversion formula of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log2(32) = log10(32) / log10(2) which becomes log(32) / log(2) when using your calculator, because the log function assumes log to the base of 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will see that log(32) / log(2) = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |