document.write( "Question 383246: 6^x=7^(x-5) \n" ); document.write( "

Algebra.Com's Answer #271436 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
Take ln of both sides:
\n" ); document.write( "(ln6)x = (ln7)(x-5);
\n" ); document.write( "(ln6)x = (ln7)x - 5ln7;
\n" ); document.write( "5ln7 = (ln7 - ln6)x;
\n" ); document.write( "5 ln7 = ln(7/6)*x;
\n" ); document.write( " $\"x+=+%285ln7%29%2F%28ln%287%2F6%29%29+=+63.117\"$ , to 3 decimal places. \n" ); document.write( "

\n" );