document.write( "Question 331640: please help me solve: \"+2%5E%282x%29+-+3+%2A+2%5Ex+-+40=+0+\" \n" ); document.write( "
Algebra.Com's Answer #237726 by jrfrunner(365)\"\" \"About 
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\"+2%5E%282x%29+-+3+%2A+2%5Ex+-+40=+0+\"\r
\n" ); document.write( "\n" ); document.write( "Let \"y=2%5Ex\" then \"Y%5E2=%282%5Ex%29%5E2+=+2%5E%282x%29\"\r
\n" ); document.write( "\n" ); document.write( "substitute in problem equation\r
\n" ); document.write( "\n" ); document.write( "\"Y%5E2+-+3%2Ay+-40+=0\"\r
\n" ); document.write( "\n" ); document.write( "factor this equation\r
\n" ); document.write( "\n" ); document.write( "(Y-8)*(y+5)=0\r
\n" ); document.write( "\n" ); document.write( "either y=8 or y=-5
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\n" ); document.write( "Case y=8\r
\n" ); document.write( "\n" ); document.write( "y = \"8+=+2%5Ex\" solve for x
\n" ); document.write( "\"ln8+=+ln%282%5Ex%29+=+x%2Aln2\"
\n" ); document.write( "ln8/ln2 = x
\n" ); document.write( "3=x
\n" ); document.write( "----------------
\n" ); document.write( "Case y=-5
\n" ); document.write( "y = \"-5+=+2%5Ex\"
\n" ); document.write( "ln(-5)=x*Ln2 STOP!!!! ln(-5) does not exit, log exist only for values greater than 0
\n" ); document.write( "------------------
\n" ); document.write( "so there is only one answer: X=3
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