document.write( "Question 472323: |2^(x^2)-8|=3 \n" ); document.write( "

Algebra.Com's Answer #325284 by lwsshak3(11628) $\"\"$ $\"About$

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|2^(x^2)-8|=3
\n" ); document.write( "two conditions can satisfy this equation:
\n" ); document.write( "2^(x^2)-8=3
\n" ); document.write( "2^(x^2)=11
\n" ); document.write( "(x^2)log2=log11
\n" ); document.write( "x^2=log11/log2=3.4594
\n" ); document.write( "x=ą√(3.4594)
\n" ); document.write( "x=ą1.8599
\n" ); document.write( "Check:
\n" ); document.write( "|2^(x^2)-8|
\n" ); document.write( "|2^(3.4594)-8|
\n" ); document.write( "|10.9998-8|=2.9998
\n" ); document.write( "..
\n" ); document.write( "other condition
\n" ); document.write( "-(2^(x^2)-8)=3
\n" ); document.write( "-2^(x^2)+8=3
\n" ); document.write( "-2^(x^2)=-5
\n" ); document.write( "2^(x^2)=5
\n" ); document.write( "(x^2)log2=log5
\n" ); document.write( "x^2=log5/log2=2.3219
\n" ); document.write( "x=ą√(2.3219)
\n" ); document.write( "x=1.5238
\n" ); document.write( "Check:
\n" ); document.write( "|(2^(x^2)-8)|
\n" ); document.write( "|2^2.3219-8|
\n" ); document.write( "|4.9999-8|
\n" ); document.write( "|-3.0001|=3.0001 \n" ); document.write( "

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