document.write( "Question 532962: Approximate the value of log(base2)10 to 3 decimal places. \r
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document.write( "*Convert to a convenient base and evaluate on the calculator.\r
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document.write( "I have no idea what to do lol \n" );
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Algebra.Com's Answer #351431 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Approximate the value of log(base2)10 to 3 decimal places. \n" ); document.write( "Convert to a convenient base and evaluate on the calculator. \n" ); document.write( "** \n" ); document.write( "Remember the definition of a logarithm?: base raised to logarithm of the number is equal to the number \n" ); document.write( "In this case: \n" ); document.write( "base=2 \n" ); document.write( "number=10 \n" ); document.write( "logarithm of the number=x (what you must find) \n" ); document.write( "so now you have this equation: \n" ); document.write( "2^x=10 \n" ); document.write( "If you have a calculator it is a simple matter to find x by using the log function which is base (10) \n" ); document.write( "taking the log of both sides: \n" ); document.write( "xlog2=log10=1 (log of the base is always=1) \n" ); document.write( "x=1/log2 \n" ); document.write( "x≈3.322 \n" ); document.write( "What this says is that if you raise 2 to 3.322 you will ≈ 10. \n" ); document.write( " |