document.write( "Question 480267: On the problem Log (base 1/2)|6x-9|= Log (base 1/2)|-6| , what Logarithm rules do I use? And how do I got about implementing them into this problem to get the answer? I don't even know where to start lol, Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #329029 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Log (base 1/2)|6x-9|= Log (base 1/2)|-6| \n" ); document.write( "** \n" ); document.write( "Since the bases are the same the numbers must also equal to each other, that is: \n" ); document.write( "|6x-9|=|-6| \n" ); document.write( "|6x-9|=6 \n" ); document.write( "solving for two conditions \n" ); document.write( "6x-9=6 \n" ); document.write( "6x=15 \n" ); document.write( "x=15/6=5/2 \n" ); document.write( ".. \n" ); document.write( "-(6x-9=6 \n" ); document.write( "-6x+9=6 \n" ); document.write( "6x=9-6=3 \n" ); document.write( "x=3/6=1/2 \n" ); document.write( "ans: \n" ); document.write( "x=5/2 \n" ); document.write( "or \n" ); document.write( "x=1/2 \n" ); document.write( " |