document.write( "Question 917167: How to solve the equation:\r
\n" ); document.write( "\n" ); document.write( "1000(2^(x/5)) = 3450\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #556555 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"1000%282%5E%28x%2F5%29%5E%22%22%29+=+3450+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%5E%28x%2F5%29%5E%22%22+=+3450%2F1000+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%5E%28x%2F5%29%5E%22%22+=+3.450+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28%282%5E%28x%2F5%29%5E%22%22%29%29+=+log%28%283.450%29%29+\" Apply the log to both sides to isolate the exponent\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2F5%29%2Alog%28%282%29%29+=+log%28%283.450%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2Alog%28%282%29%29+=+5%2Alog%28%283.450%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+5%2Alog%28%283.450%29%29%2Flog%28%282%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+5%2Alog%282%2C%283.450%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The exact solution is \"x+=+5%2Alog%282%2C%283.450%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use a calculator to get \"x+=+5%2Alog%28%283.450%29%29%2Flog%28%282%29%29+=++8.93298\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the approximate solution is roughly \"x+=+8.93298\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let me know if you need more help or if you need me to explain a step in more detail.
\n" ); document.write( "Feel free to email me at jim_thompson5910@hotmail.com
\n" ); document.write( "or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thanks,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "
\n" );