document.write( "Question 970559: How would you solve this equation for a? 2^a+3 = 3^2a-1
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #593221 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve this equation for a? \"2%5E%28%28a%2B3%29%29+=+3%5E%28%282a-1%29%29\"
\n" ); document.write( "Use nat logs
\n" ); document.write( "\"ln%282%5E%28%28a%2B3%29%29%29+=+ln%283%5E%28%282a-1%29%29%29\"
\n" ); document.write( "The log equiv of exponents
\n" ); document.write( "\"%28a%2B3%29%2Aln%282%29+=+%282a-1%29%2Aln%283%29\"
\n" ); document.write( "\"%28%28a%2B3%29%29%2F%28%282a-1%29%29\" = \"ln%283%29%2Fln%282%29\"
\n" ); document.write( "find ln
\n" ); document.write( "\"%28%28a%2B3%29%29%2F%28%282a-1%29%29\" = 1.58496
\n" ); document.write( "a + 3 = 1.58496(2a-1)
\n" ); document.write( "a + 3 = 3.1699a - 1.58496
\n" ); document.write( "3 + 1.58496 = 3.1699a - a
\n" ); document.write( "4.58496 = 2.1699a
\n" ); document.write( "a = \"4.58496%2F2.1699\"
\n" ); document.write( "a = 2.113
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\n" ); document.write( "Checks out pretty close on a calc, enter \"2%5E%28%282.113%2B3%29%29+=+3%5E%28%282%282.113%29-1%29%29\"
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