document.write( "Question 619407: log(x+2)to base 3+log(10-x)to base 3-3=0 \n" ); document.write( "

Algebra.Com's Answer #389625 by stanbon(75887) $\"\"$ $\"About$

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log(x+2)to base 3+log(10-x)to base 3-3=0
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\n" ); document.write( "log3(x+2) + log3(10-x) = 3
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\n" ); document.write( "log3[(x+2)(10-x)] = 3
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\n" ); document.write( "(x+2)(10-x) = 3^3
\n" ); document.write( "-x^2+8x+20 = 27
\n" ); document.write( "x^2 -8x + 7 = 0
\n" ); document.write( "(x-7)(x-1) = 0
\n" ); document.write( "x = 7 or x = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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