document.write( "Question 321160: given that log 8=0.9031 and log 9=0.9542 and obviously log 10=1, which logarithm cannot be found without the use of a calculator?\r
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document.write( "a. log 17 b. log (5/4) c. log 15 d. log 600 e. log 0.4 \r
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document.write( "and also if you could show the work as how you got the answer. thank you so much :) \n" );
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Algebra.Com's Answer #229995 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! given that log 8=0.9031 and log 9=0.9542 and obviously log 10=1, which logarithm cannot be found without the use of a calculator? \n" ); document.write( "---------------------- \n" ); document.write( "If log8 = 0.9031, then log 2^3 = 0.9031 and 3log2 = 0.9031 \n" ); document.write( "Then log(2) = (0.9031/3) = 0.3010 \n" ); document.write( "------------------------------------------ \n" ); document.write( "If log9 = 0.9542, then 2log(3) = 0.9542 \n" ); document.write( "Then log(3) = 0.9542/2 = 0.4771 \n" ); document.write( "----------------------------------------- \n" ); document.write( "So now you know the following: \n" ); document.write( "log(2) = 0.3010 \n" ); document.write( "log(3) = 0.4771 \n" ); document.write( "log(8) = 0.9031 \n" ); document.write( "log(9) = 0.9542 \n" ); document.write( "log(10) = 1 \n" ); document.write( "-------------------- \n" ); document.write( "a. log 17 cannot be done with the above information \n" ); document.write( "b. log (5/4) = log(10/8) = log(10)-log(8) \n" ); document.write( "c. log 15 = log[3(10/2)] = log(3)+log(10)-log(2) \n" ); document.write( "d. log 600 = log[2*3*2^2*5^2] so can be done \n" ); document.write( "e. log 0.4 = log[(2^2)/10] = 2log(2) - log(10)\r \n" ); document.write( "\n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " \n" ); document.write( " |