document.write( "Question 1189365: 1.Solve the following equations:
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document.write( "(i) ln x + ln(x + 4) = ln(x + 6)
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document.write( "(ii) 7^x+3 = e^x \n" );
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Algebra.Com's Answer #820707 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 1.Solve the following equations: \n" ); document.write( "(i) ln x + ln(x + 4) = ln(x + 6) \n" ); document.write( "ln(x*(x+4)) = ln(x+6) \n" ); document.write( "x^2 + 4x = x+6 \n" ); document.write( "x^2 + 3x = 6 \n" ); document.write( "x^2 + 3x + 2.25 = 8.25 \n" ); document.write( "(x + 1.5)^2 = 8.25 \n" ); document.write( "x+1.5 = sqrt(33)/2, -sqrt(33)/2 \n" ); document.write( "x = (-3 + sqrt(33))/2 =~ 1.37228 \n" ); document.write( "The other \"solution\" is negative and is not valid due to the logarithm. \n" ); document.write( "===================================== \n" ); document.write( "(ii) 7^x+3 = e^x \n" ); document.write( "Is x the exponent of 7? \n" ); document.write( "Or x+3? \n" ); document.write( " |