document.write( "Question 507914: Solve for x:\r
\n" ); document.write( "\n" ); document.write( "log base4 (x) + log base 4 (x+3) = log base4 (8) \n" ); document.write( "

Algebra.Com's Answer #341050 by lwsshak3(11628) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( "log base4 (x) + log base 4 (x+3) = log base4 (8)
\n" ); document.write( "**
\n" ); document.write( "log4(x)+ log4(x+3)-log4(8)=0
\n" ); document.write( "place under a single log=0
\n" ); document.write( "log4[(x(x+3)/8)]=0
\n" ); document.write( "convert to exponential form: base(4) raised to log of the number(0)=number(x(x+3)/8)
\n" ); document.write( "4^0=(x(x+3)/8)=1
\n" ); document.write( "(x^2+3x)/8=1
\n" ); document.write( "x^2+3x=8
\n" ); document.write( "x^2+3x-8=0
\n" ); document.write( "use following quadratic formula to solve:
\n" ); document.write( "..
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "..
\n" ); document.write( "a=1, b=3, c=-8
\n" ); document.write( "x=[-3ą√(3^2-4*1*-8]/2*1
\n" ); document.write( "x=[-3ą√9+32]/2
\n" ); document.write( "x=-3ą√41/2
\n" ); document.write( "x=-3ą6.4031/2
\n" ); document.write( "x=-4.7016 (reject, (x+3)>0)
\n" ); document.write( "or
\n" ); document.write( "x=1.7016 (ans) \n" ); document.write( "

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