document.write( "Question 205989: log[5](x-2)+log[5](2x-9)=2 \n" ); document.write( "
Algebra.Com's Answer #155569 by RAY100(1637)\"\" \"About 
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log(5){x-2} +log(5){2x-9} = 2
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\n" ); document.write( "log a + log b = log a*b
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\n" ); document.write( "log(5) { (x-2)(2x-9)} = 2
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\n" ); document.write( "log(a) b = log b / log a
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\n" ); document.write( "log{ (x-2)(2x-9)} / log(5) = 2
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\n" ); document.write( "log{ 2x^2 -9x -4x +18} = 2 log 5 = 1.3979
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\n" ); document.write( "Raise each side as power of 10,,,,10^(log a) =a
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\n" ); document.write( "{ 2x^2 -13x +18} = 10^1.3979 = 25
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\n" ); document.write( "2x^2 -13x -7 =0,,,,,,,,factor
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\n" ); document.write( "(2x+1)(x-7) =0
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\n" ); document.write( "x = 7,,,, - 1/2 ( not realistic)
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\n" ); document.write( "check,,(x=7),,,,,,log(5){5} +log(5){5} = 2
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\n" ); document.write( "log 25 / log 5 = 2
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\n" ); document.write( "log 25 =2 log 5 = 1.3979,,,,,,ok
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