document.write( "Question 971464: log (x^2+x-6)^2 to base x+1 = 4 \n" ); document.write( "

Algebra.Com's Answer #593939 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
log (x^2+x-6)^2 to base x+1 = 4
\n" ); document.write( "-------------
\n" ); document.write( " $\"log%28%28x%2B1%29%2C%28x%5E2%2Bx-6%29%5E2%29+=+4\"$
\n" ); document.write( "--> $\"%28x%2B1%29%5E4+=+%28x%5E2%2Bx-6%29%5E2\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2+=+%28x%5E2%2Bx-6%29\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+%2B+1%29+=+x%5E2%2Bx-6\"$
\n" ); document.write( "2x+1 = x-6
\n" ); document.write( "x = -7 --> base -6, not allowed
\n" ); document.write( "==============================
\n" ); document.write( " $\"%28x%2B1%29%5E2+=+-%28x%5E2%2Bx-6%29\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+%2B+1%29+=+-x%5E2+-+x+%2B+6\"$
\n" ); document.write( " $\"2x%5E2+%2B+3x+-+5+=+0\"$
\n" ); document.write( "(2x + 5)*(x - 1) = 0
\n" ); document.write( "x = 1 --> log(-4) not allowed
\n" ); document.write( "x = -5/2 --> base -1.5 not allowed\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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