document.write( "Question 1194878: Please help me solve this question:log2{√(x³-2x²+x)}=1+log2(x-1) \n" ); document.write( "

Algebra.Com's Answer #827183 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"log%282%2Csqrt%28x%5E3-2x%5E2%2Bx%29%29=1%2Blog%282%2C%28x-1%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2Csqrt%28x%5E3-2x%5E2%2Bx%29%29+-+log%282%2C%28x-1%29%29=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2Csqrt%28x%5E3-2x%5E2%2Bx%29%2F%28x-1%29%29=1\"$ ........since $\"log%282%2C2%29=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2Csqrt%28x%5E3-2x%5E2%2Bx%29%2F%28x-1%29%29=log%282%2C2%29\"$ .........factor $\"x%5E3-2x%5E2%2Bx=x+%28x+-+1%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2Csqrt%28x+%28x+-+1%29%5E2%29%2F%28x-1%29%29=log%282%2C2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2C+%28%28x+-+1%29sqrt%28x%29%29%2F%28x-1%29%29=log%282%2C2%29\"$ ........simplify\r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2C+sqrt%28x%29%29=log%282%2C2%29\"$ ............since on both sides is log and base is same, we have\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%29=2\"$ .........square both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28x%29%29%5E2=2%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x=4\"$ \r
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