document.write( "Question 701467: If A=log 2 and B=log 3, write the following in terms of A and B:\r
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document.write( "a)log 36\r
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document.write( "b)log 54\r
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document.write( "c)log (8 sqrt 3)\r
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document.write( "d)log (20.25)\r
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document.write( "e) log (0.8) \n" );
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Algebra.Com's Answer #432433 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If A=log 2 and B=log 3, write the following in terms of A and B: \n" ); document.write( "a)log 36 = log(3^2*2^2) = 2log(3)+2log(2) = 2(B + A) \n" ); document.write( "b)log 54 = log(27*2) = log(3^3)+log(2) = 3log(3) + log(2) = 3B + A \n" ); document.write( "c)log (8 sqrt 3) = log(2^3*3^(1/2)) = 3log(2) + (1/2)log(3) = 3A + (1/2)B \n" ); document.write( "d)log (20.25) = log(81/4) = log(81)-log(4) = 4log(3)-2log(2) = 4B-2A \n" ); document.write( "e) log (0.8) = log(8/10) = log(8)-log(10) = 3log(2)-1 = 3A-1 \n" ); document.write( "============================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " \n" ); document.write( " |