document.write( "Question 421261: Please help me!\r
\n" ); document.write( "\n" ); document.write( "Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English. \r
\n" ); document.write( "\n" ); document.write( "Use natural logarithms to solve the equation.
\n" ); document.write( "e -0.413t=5 (The -0.413t is up higher than e)\r
\n" ); document.write( "\n" ); document.write( "The solution set is
\n" ); document.write( "(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
\n" ); document.write( "

Algebra.Com's Answer #294193 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The problem is
\n" ); document.write( "\"+e%5E%28-.413t%29+=+5+\"
\n" ); document.write( "It would be good if this equation was in the form
\n" ); document.write( "\"+e%5Ea+=+e%5Eb+\"
\n" ); document.write( "Then \"a\" must equal \"b\"
\n" ); document.write( "To accomplish this, I'll say
\n" ); document.write( "\"+5+=+e%5Ex+\"
\n" ); document.write( "\"+x+=+ln%285%29+\"
\n" ); document.write( "Now I can use my calculator
\n" ); document.write( "\"x+=+1.6094\"
\n" ); document.write( "so,
\n" ); document.write( "\"e%5E%28-.413t%29+=+e%5E1.6094\"
\n" ); document.write( "\"+-.413t+=+1.6094\"
\n" ); document.write( "\"+t+=+-3.897+\" answer
\n" ); document.write( "check answer:
\n" ); document.write( "\"+e%5E%28-.413t%29+=+5+\"
\n" ); document.write( "\"+e%5E%28-.413%2A%28-3.897%29%29+=+5+\"
\n" ); document.write( "\"+e%5E1.609+=+5\"
\n" ); document.write( "\"+5.00+=+5\"
\n" ); document.write( "
\n" );