document.write( "Question 870526: Hello and thank you for your help beforehand! I've been stuck on this question for a little while now. I am asked to solve for x and the problem is 3 to the x+2=e to the 2x-1. Hope that makes sense and thank you again!! \n" ); document.write( "

Algebra.Com's Answer #524929 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
the problem is 3 to the x+2=e to the 2x-1.
\n" ); document.write( "Assume it is
\n" ); document.write( " $\"3%5E%28%28x%2B2%29%29+=+e%5E%28%282x-1%29%29\"$
\n" ); document.write( "find the nat log of both sides
\n" ); document.write( " $\"ln%283%5E%28%28x%2B2%29%29%29+=+ln%28e%5E%28%282x-1%29%29%29\"$
\n" ); document.write( "the log equiv of exponents
\n" ); document.write( "(x+2)ln(3) = (2x-1)ln(e)
\n" ); document.write( "find ln using a calc. the ln of e is 1
\n" ); document.write( "1.0986(x+2) = 2x - 1
\n" ); document.write( "1.0986x + 2.1972 = 2x - 1
\n" ); document.write( "2.1972 + 1 = 2x - 1.0986x
\n" ); document.write( "3.1972 = .9014x
\n" ); document.write( "x = $\"3.1972%2F.9014\"$
\n" ); document.write( "x = 3.547
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on your calc, replace x
\n" ); document.write( "3^5.547 = 443.2
\n" ); document.write( "e^6.094 = 443,2 \n" ); document.write( "

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