document.write( "Question 946643: Solve fora in log(2a)- 3log2= 1/2log(a-3) \n" ); document.write( "
Algebra.Com's Answer #577521 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Solve for \"a\" in \"log%282a%29-3log%282%29=+%281%2F2%29log%28a-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282%2Aa%29-3log%282%29=+%281%2F2%29log%28a-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282a%29-log%282%5E3%29=+log%28%28a-3%29%5E%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282a%29-log%288%29=+log%28sqrt%28%28a-3%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%282a%2F8%29%29=+log%28sqrt%28%28a-3%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%28a%2F4%29%29=+log%28sqrt%28%28a-3%29%29%29\" ...if log same, then\r
\n" ); document.write( "\n" ); document.write( "\"a%2F4=+sqrt%28a-3%29\"...square both sides\r
\n" ); document.write( "\n" ); document.write( "\"%28a%2F4%29%5E2=+%28sqrt%28a-3%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2%2F16=+%28a-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=+16%28a-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=+16a-48\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2-16a%2B48=0\"...factor completely\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2-4a+-12a%2B48=0\"...group\r
\n" ); document.write( "\n" ); document.write( "\"%28a%5E2-4a%29+-%2812a-48%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"a%28a-4%29+-12%28a-4%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28a-12%29%28a-4%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28a-12%29+=+0\"=> \"a=12\"\r
\n" ); document.write( "\n" ); document.write( "if \"%28a-4%29+=+0\"=> \"a=4\"
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