document.write( "Question 891480: Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.)\r
\n" ); document.write( "\n" ); document.write( "5^x^2 = 2^5x
\n" ); document.write( "

Algebra.Com's Answer #539783 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
5^x^2 = 2^5x
\n" ); document.write( "
\r\n" );
document.write( "I can't tell whether that means\r\n" );
document.write( "\r\n" );
document.write( "\"%285%5Ex%29%5E2\"\"%22%22=%22%22\"\"2%5E%285x%29\" or \"matrix%282%2C1%2C%22%22%2C5%5E%28x%5E2%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29\"\"matrix%282%2C1%2C%22%22%2C2%5E%285x%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "If it's the first way:\r\n" );
document.write( "\r\n" );
document.write( "\"5%5E%282x%29\"\"%22%22=%22%22\"\"2%5E%285x%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"ln%285%5E%282x%29%29\"\"%22%22=%22%22\"\"ln%282%5E%285x%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"2x%2Aln%285%29\"\"%22%22=%22%22\"\"5x%2Aln%282%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"2x%2Aln%285%29\"\"%22%22-%22%22\"\"5x%2Aln%282%29\" \"%22%22=%22%22\" \"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%282ln%285%29%2B5ln%282%29%29\"  \"%22%22=%22%22\" \"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by \"2ln%285%29%2B5ln%282%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "------------------------\r\n" );
document.write( "\r\n" );
document.write( "If it's the second way,\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2C5%5E%28x%5E2%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29\"\"matrix%282%2C1%2C%22%22%2C2%5E%285x%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2Cln%285%5E%28x%5E2%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cln%282%5E%285x%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28x%5E2%29ln%285%29\"\"%22%22=%22%22\"\"5x%2Aln%282%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28x%5E2%29ln%285%29\"\"%22%22-%22%22\"\"5x%2Aln%282%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"x%2A%28x%2Aln%285%29-5ln%282%29%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"x=0\";  \"x%2Aln%285%29-5%2Aln%282%29=0\"\r\n" );
document.write( "\r\n" );
document.write( "          \"x%2Aln%285%29=5%2Aln%282%29\"\r\n" );
document.write( "\r\n" );
document.write( "          \"x=5%2Aln%282%29%2Fln%285%29\"\r\n" );
document.write( "\r\n" );
document.write( "          \"x=2.15338279\"\r\n" );
document.write( "\r\n" );
document.write( "Answers:   0, 2.1534 (rounded to four decimal places).\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );