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 #696576 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%284%2Cx%29+-+log%2816%2C%28x%2B3%29%29+=+1%2F2\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%29%2Flog%284%29+-+log%28%28x%2B3%29%29%2Flog%2816%29+=+1%2F2\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%29%2Flog%282%5E2%29+-+log%28%28x%2B3%29%29%2Flog%282%5E4%29+=+1%2F2\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%29%2F2log%282%29+-+log%28%28x%2B3%29%29%2F4log%282%29+=+1%2F2\" .........both side multiply by \"2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2log%28x%29%2F2log%282%29+-+2log%28%28x%2B3%29%29%2F4log%282%29+=+2%281%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%29%2Flog%282%29+-+log%28%28x%2B3%29%29%2F2log%282%29+=+1\" ....common denominator \"2log%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282log%28x%29+-+log%28%28x%2B3%29%29%29%2F2log%282%29+=+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2log%28x%29+-+log%28%28x%2B3%29%29+=+2log%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%5E2%29+-+log%28%28x%2B3%29%29+=+log%282%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x%5E2%2F%28x%2B3%29%29+=+log%284%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F%28x%2B3%29+=+4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+4%28x%2B3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+=+4x%2B12\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-4x-12=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B2x-6x-12=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-6x%29+%2B%282x-12%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%28x-6%29+%2B2%28x-6%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B2%29%28x-6%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B2%29=0\"=>\"x=-2\".....disregard negative solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-6%29=0\"=>\"x=6\"-> your solution\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );