document.write( "Question 730277: Solve the following equation by using properties of logarithms: e^(x-1)-5=5\r
\n" ); document.write( "\n" ); document.write( "(The x-1 is the entire exponent) \r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #853047 by ikleyn(53763) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Starting equation is\r\n" );
document.write( "\r\n" );
document.write( "     - 5 = 5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add 5 to both sides\r\n" );
document.write( "\r\n" );
document.write( "     = 5 + 5 = 10.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Take natural logarithm of both sides\r\n" );
document.write( "\r\n" );
document.write( "    (x-1)*ln(e) = ln(10)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use ln(e) = 1\r\n" );
document.write( "\r\n" );
document.write( "    x - 1 = ln(10)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  x = ln(10) + 1 = 3.302585093...\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   =  = 4.9999999996,  which is good match.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );