document.write( "Question 1153085: Determine the value of ab if https://imgur.com/a/1u4d55h \n" ); document.write( "
Algebra.Com's Answer #775240 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "log(8,a)+log(4,b^2)=5\r
\n" ); document.write( "\n" ); document.write( "log(8,b)+log(4,a^2)=7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%288%2Ca%29%2Blog%284%2Cb%5E2%29=5\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"log%288%2Cb%29%2Blog%284%2Ca%5E2%29=7\".....eq.2
\n" ); document.write( "----------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%288%2Ca%29%2Blog%284%2Cb%5E2%29=5\".....eq.1, solve for \"log%28a%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%288%2Ca%29=5-log%284%2Cb%5E2%29\"......change to base \"10\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29%2Flog%288%29=5-log%28b%5E2%29%2Flog%284%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=log%288%29%285-log%28b%5E2%29%2Flog%284%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=3log%282%29%285%2A2log%282%29-2log%28b%29%29%2F2log%282%29\"....simplify, \r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=3cross%28log%282%29%29%285%2A2log%282%29-2log%28b%29%29%2F2cross%28log%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=3%285%2A2log%282%29-2log%28b%29%29%2F2\"...simplify\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=3%285%2Across%282%29log%282%29-cross%282%29log%28b%29%29%2Fcross%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=3%285%2Alog%282%29-log%28b%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=15log%282%29+-+3log%28b%29\"............eq.1a\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"log%288%2Cb%29%2Blog%284%2Ca%5E2%29=7\".....eq.2, do same as above\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%284%2Ca%5E2%29=7-log%288%2Cb%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%5E2%29%2Flog%284%29=7-log%28b%29%2Flog%288%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2log%28a%29=log%284%29%287-log%28b%29%2Flog%288%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2log%28a%29=14log%282%29+-+%282log%28b%29%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=7log%282%29-log%28b%29%2F3\".........eq.2a\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from eq.1a and eq.2a we have\r
\n" ); document.write( "\n" ); document.write( "\"15log%282%29+-+3log%28b%29=7log%282%29-log%28b%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"8log%282%29=9log%28b%29%2F3+-log%28b%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"8log%282%29=8log%28b%29%2F3\"....simplify\r
\n" ); document.write( "\n" ); document.write( "\"log%282%29=log%28b%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"3log%282%29=log%28b%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282%5E3%29=log%28b%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%288%29=log%28b%29\"\r
\n" ); document.write( "\n" ); document.write( "=> \"b+=+8\"\r
\n" ); document.write( "\n" ); document.write( "go to
\n" ); document.write( "\"log%28a%29=15log%282%29+-+3log%28b%29\"............eq.1a, substitute \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=15log%282%29+-+3log%288%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=15log%282%29+-+3log%282%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=15log%282%29+-+9log%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=6log%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28a%29=log%282%5E6%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=2%5E6\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+64\"\r
\n" ); document.write( "\n" ); document.write( "
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