document.write( "Question 238739:
\n" );
document.write( "1. 5.logbx+9.logby-3.logbz\r
\n" );
document.write( "\n" );
document.write( "2. log2x+log2(x-6)=4\r
\n" );
document.write( "\n" );
document.write( "3. logbx-(logby+logbz)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #175432 by JimboP1977(311)![]() ![]() You can put this solution on YOUR website! Using log rules:\r \n" ); document.write( "\n" ); document.write( "1. logb (ABC) = logb A + logb B + logb C \n" ); document.write( "2. logb (A/B) = logb A - logb B \n" ); document.write( "3. logb (A^n) = nlogb A \n" ); document.write( "4. logb b = 1 \n" ); document.write( "5. logb = logb A1/n = (1/n)logb A n A \n" ); document.write( "6. logb 1 = 0 \n" ); document.write( "7. logb (1/A) = logb 1 - logb A = -logb A\r \n" ); document.write( "\n" ); document.write( "5*logbx+9*logby-3*logbz \r \n" ); document.write( "\n" ); document.write( "Use rule 3 first\r \n" ); document.write( "\n" ); document.write( "logb(x^5)+logb(y^9)-logb(z^3)\r \n" ); document.write( "\n" ); document.write( "Use rule 1\r \n" ); document.write( "\n" ); document.write( "logb((x^5 * y^9)/z^3))\r \n" ); document.write( "\n" ); document.write( "log2x+log2(x-6)=4 (assuming base = 2)\r \n" ); document.write( "\n" ); document.write( "log2(x^2-6x) = 4\r \n" ); document.write( "\n" ); document.write( "x^2-6x = 2^4\r \n" ); document.write( "\n" ); document.write( "(x-3)^2-9 = 16\r \n" ); document.write( "\n" ); document.write( "x = 25^1/2 + 3\r \n" ); document.write( "\n" ); document.write( "x = 8 \r \n" ); document.write( "\n" ); document.write( "logbx-(logby+logbz)\r \n" ); document.write( "\n" ); document.write( "logbx-(logb y*z)\r \n" ); document.write( "\n" ); document.write( "logb x/(y*z)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |