document.write( "Question 173579: Log6-log6(x-1)=1 \n" ); document.write( "
Algebra.Com's Answer #128461 by nycsub_teacher(90)![]() ![]() ![]() You can put this solution on YOUR website! Log_6 - log_6(x-1)= 1\r \n" ); document.write( "\n" ); document.write( "Use the property of subtraction for logs.\r \n" ); document.write( "\n" ); document.write( "I will use log_6 to mean \"log base 6.\"\r \n" ); document.write( "\n" ); document.write( "log_6(1/(x - 1) = 1\r \n" ); document.write( "\n" ); document.write( "Remove the word log and raise 6 to the value as given on the other side of the equation.\r \n" ); document.write( "\n" ); document.write( "6^1 = 1/(x - 1)\r \n" ); document.write( "\n" ); document.write( "6 = 1(x - 1)\r \n" ); document.write( "\n" ); document.write( "Solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6(x - 1) = 1\r \n" ); document.write( "\n" ); document.write( "6x - 6 = 1\r \n" ); document.write( "\n" ); document.write( "6x = 6 + 1\r \n" ); document.write( "\n" ); document.write( "6x = 7\r \n" ); document.write( "\n" ); document.write( "x = 7/6\r \n" ); document.write( "\n" ); document.write( "x = 1.2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |