document.write( "Question 959160: Please explain how to solve:\r
\n" ); document.write( "\n" ); document.write( "\"+e%5E%28x%29-8e%5E%28-x%29=7+\"\r
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\n" ); document.write( "\n" ); document.write( "and\r
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\n" ); document.write( "\n" ); document.write( "solve for x (exact answer)
\n" ); document.write( "\"+10%5E%2810-x%29=16%5E%28x%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #586251 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Please explain how to solve:\r
\n" ); document.write( "\n" ); document.write( "\"+e%5E%28x%29-8e%5E%28-x%29=7+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for x (exact answer)
\n" ); document.write( "\"+10%5E%2810-x%29=16%5E%28x%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you
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\"e%5Ex+-+8e%5E%28-+x%29+=+7\"
\n" ); document.write( "\"e%5Ex+-+8e%5E%28-+x%29+-+7+=+0\"
\n" ); document.write( "\"e%5Ex+-+8%281%2Fe%5Ex%29+-+7+=+0\"
\n" ); document.write( "\"e%5Ex+-+%288%2Fe%5Ex%29+-+7+=+0\"
\n" ); document.write( "\"e%5Ex+%2A+e%5Ex+-+8+-+7e%5Ex+=+0\" --------- Multiplying by LCD, \"e%5Ex\"
\n" ); document.write( "\"e%5E%282x%29+-+7e%5Ex+-+8+=+0\"
\n" ); document.write( "\"%28e%5Ex+-+8%29%28e%5Ex+%2B+1%29+=+0\"
\n" ); document.write( "\"e%5Ex+-+8+=+0\" OR \"e%5Ex+=+-+1\" (ignore)
\n" ); document.write( "\"e%5Ex+=+8\" ----- Exponential form
\n" ); document.write( "ln 8 = x --- Logarithmic form
\n" ); document.write( "\"highlight_green%28x+=+2.079442%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10%5E%2810+-+x%29+=+16%5Ex\" ----------- Exponential form
\n" ); document.write( "\"log+10%5E%2810+-+x%29+=+log+16%5Ex\" ----- Taking log of both sides
\n" ); document.write( "10 - x (log 10) = x (log 16)
\n" ); document.write( "(10 – x) * 1 = x log 16
\n" ); document.write( "10 – x = x log 16
\n" ); document.write( "10 = (x log 16) + x
\n" ); document.write( "10 = x[(log 16) + 1)]
\n" ); document.write( "\"highlight_green%28x+=+10%2F%28%28log+16%29+%2B+1%29%29\" \n" ); document.write( "
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