document.write( "Question 32597: could anyone please help me with these they are really confusing\r
\n" ); document.write( "\n" ); document.write( "log7 + log (n - 2) = log 6n\r
\n" ); document.write( "\n" ); document.write( "log5m = log5125\r
\n" ); document.write( "\n" ); document.write( "logy =1/4log16 +1/2log49\r
\n" ); document.write( "\n" ); document.write( "log6(b2 + 2) + log62 = 2\r
\n" ); document.write( "\n" ); document.write( "log3(5x+5) - log3(x2 - 1) = 0\r
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Algebra.Com's Answer #19101 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
log7 + log (n - 2) = log 6n
\n" ); document.write( "=> log 7(n-2) = log 6n (using property log a + log b = log(ab))
\n" ); document.write( "=> 7(n-2) = 6n => 7n-14 = 6n => n=14;
\n" ); document.write( "..........
\n" ); document.write( "log5m = log5125
\n" ); document.write( "=> 5m = 5125
\n" ); document.write( "=> m = 5125/5 => m = 1025
\n" ); document.write( "..................
\n" ); document.write( "logy =1/4log16 +1/2log49
\n" ); document.write( "=> log y = Log [16^(1/4)] + log [49^(1/2)]
\n" ); document.write( "=> log y = log 2 + log 7
\n" ); document.write( "=> log y = log 14
\n" ); document.write( "=> y = 14;
\n" ); document.write( "................
\n" ); document.write( "log6(b^2 + 2) + log62 = 2
\n" ); document.write( "=> log(base6) [2(b^2+2)] = 2
\n" ); document.write( "=> 2(b^2+2) = 6^2 = 36
\n" ); document.write( "=> b^2 + 2 = 18
\n" ); document.write( "=> b^2 = 16
\n" ); document.write( "=> b = 4 or b=-4;
\n" ); document.write( "..................
\n" ); document.write( "log3(5x+5) - log3(x^2 - 1) = 0
\n" ); document.write( "=> log(base3) [(5x+5)/(x^2-1)] = 0
\n" ); document.write( "=> [(5x+5)/(x^2-1)] = 1
\n" ); document.write( "=> 5/(x-1) = 1
\n" ); document.write( "=> x-1 = 5
\n" ); document.write( "=> x=6
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