document.write( "Question 79779: log(Base3)(x-1) -Log(base3)(x+2)=2 \n" ); document.write( "

Algebra.Com's Answer #853484 by MathTherapy(10699) $\"\"$ $\"About$

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document.write( "log(Base3)(x-1) -Log(base3)(x+2)=2\r\n" );
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document.write( "For log (a), \"a\" MUST be > 0\r\n" );
document.write( "So, we set the SMALLER \"a\" (x - 1) > 0____x > 1\r\n" );
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document.write( "We now get: , with x > 1\r\n" );
document.write( " --- Applying  = \r\n" );
document.write( "       -- Converting to EXPONENTIAL form \r\n" );
document.write( "   9(x + 2) = x - 1 ---- Cross-multiplying\r\n" );
document.write( "    9x + 18 = x - 1\r\n" );
document.write( "     9x - x = - 1 - 18\r\n" );
document.write( "         8x = - 19\r\n" );
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document.write( "As seen above, x is NEGATIVE (< 0), so x is NOT > 1. As a result, NO SOLUTIONS exist here!

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