document.write( "Question 126569This question is from textbook Amscos Preparing for the Regents Examination Mathematics B
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document.write( ": Solve for x
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document.write( "Log6(x) = log6(36) - log6(1/6)\r
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document.write( "please explain and show work thanks \n" );
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Algebra.Com's Answer #92724 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Log6(x) = log6(36) - log6(1/6)\r \n" ); document.write( "\n" ); document.write( "Keep in mind that the base is 6 for all the work: \n" ); document.write( "------------------------- \n" ); document.write( "log(x) = log(36) - log(1/6) \n" ); document.write( "------------------------------- \n" ); document.write( "Rule: log(a)-log(b) = log(a/b) \n" ); document.write( "------------------------------- \n" ); document.write( "log(x) = log [36/(1/6)] \n" ); document.write( "log(x) = log[216] \n" ); document.write( "------------------------------ \n" ); document.write( "Since the logs are equal, the anti-logs are equal: \n" ); document.write( "x = 216 \n" ); document.write( "================== \n" ); document.write( "Another way to do it: \n" ); document.write( "log6(x) = 2 -(-1) \n" ); document.write( "log6(x) = 3 \n" ); document.write( "x = 6^3 \n" ); document.write( "x = 216 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |