document.write( "Question 1008878: log base 3(5z+5) - Log base 3(z^2-1)=0 \n" ); document.write( "
Algebra.Com's Answer #624411 by ikleyn(52873)\"\" \"About 
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document.write( "\"log%283%2C%285z%2B5%29%29\" - \"log%283%2C%28z%5E2-1%29%29\" = \"0\"   -----> \r\n" );
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document.write( "\"log%283%2C%285z%2B5%29%29\" = \"log%283%2C%28z%5E2-1%29%29\"   ----->\r\n" );
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document.write( "\"5z+%2B+5\" = \"z%5E2-1\"   ----->\r\n" );
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document.write( "\"z%5E2+-+5z+-6\" = \"0\"   ----->   (factor)   ----->\r\n" );
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document.write( "(z-6)*(z+1) = 0   ----->\r\n" );
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document.write( "\"z%5B1%5D\" = 6, \"z%5B2%5D\" = -1.\r\n" );
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document.write( "The root \"z%5B2%5D\" doesn't suit the original equation (why ?).\r\n" );
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document.write( "The only solution of the original equation is z = 6.\r\n" );
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