document.write( "Question 1082504: Hi!! What is log base 4 of X - log base 16 of (x+3) = 1/2 \n" ); document.write( "

Algebra.Com's Answer #853463 by MathTherapy(10699) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi!! What is log base 4 of X - log base 16 of (x+3) = 1/2\r\n" );
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document.write( " ----- Converting from base 4 and base 16 to base 2 \r\n" );
document.write( " ----- Applying \r\n" );
document.write( "        ---- Applying  \r\n" );
document.write( "               --- Converting to EXPONENTIAL form\r\n" );
document.write( "              \r\n" );
document.write( "                  ----- Cross-multiplying\r\n" );
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document.write( "     (x - 6)(x + 2) = 0 ----- Factoring trinomial\r\n" );
document.write( "x - 6 = 0      OR      (x + 2) = 0 ---- Equating each factor to 0\r\n" );
document.write( "   x = 6      OR       x = - 2 (IGNORE, as this is an EXTRANEOUS solution!\r\n" );
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document.write( "So, only ONE (1) solution applies here, so accept NO OTHER.

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