document.write( "Question 20718: CAN SOMEONE, ANYONE PLEASE PLEASE HELP ME!!! I really need help. What is the value of X in the equation, log\"2\"(2x+8) - log\"2\"(2x^2+21x+61) = -3 \n" ); document.write( "
Algebra.Com's Answer #9980 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
i think you mean logs are to base 2..taking that and using the formula,
\n" ); document.write( "log x to base y = log x/log y
\n" ); document.write( "so we get
\n" ); document.write( "log(2x+8)/log 2+log (2x^2+21x+61)/log 2=-3
\n" ); document.write( "multiplying through out with log 2
\n" ); document.write( "log(2x+8)+log(2x^2+21x+61)=-3log 2=log 2^(-3)==log(1/2^3)=log(1/8)
\n" ); document.write( "log(2x+8)(2x^2+21x+61)=log(1/8)
\n" ); document.write( "(2x+8)(2x^2+21x+61)=(1/8)
\n" ); document.write( "i hope now you can continue from here
\n" ); document.write( "to simplify and factorise to get the answers
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