document.write( "Question 817316: Please help me figure this out. log(base7)x - log(base7)(3x-5)=1 \n" ); document.write( "
Algebra.Com's Answer #492002 by LinnW(1048) You can put this solution on YOUR website! log(base7)(7) = 1, think 7^1 = 7\r \n" ); document.write( "\n" ); document.write( "so log(base7)(x) - log(base7)(3x-5) = log(base7)(7)\r \n" ); document.write( "\n" ); document.write( "Since in general log(u/v) = log(u) - log(v)\r \n" ); document.write( "\n" ); document.write( " log(base7)( x / (3x-5) ) = log(base7)(7) \n" ); document.write( "So x / (3x-5) = 7/1 \n" ); document.write( " x = 7(3x-5) \n" ); document.write( " x = 21x -35 \n" ); document.write( " -20x = -35 \n" ); document.write( " x = 35/20 \n" ); document.write( " x = 7/4 \n" ); document.write( " \n" ); document.write( " |