document.write( "Question 687487: Solve 3^x-1=7\r
\n" );
document.write( "\n" );
document.write( "Write 6log4x+log4y as a single logarithm\r
\n" );
document.write( "\n" );
document.write( "Solve.
\n" );
document.write( " 3^2x-1 x 81^2/4
\n" );
document.write( " __________________ = 9^5x
\n" );
document.write( " 27^1-x \n" );
document.write( "
Algebra.Com's Answer #425171 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve 3^x-1=7 \n" ); document.write( "3^(x-1) = 7 \n" ); document.write( "(x-1)*log(3) = log(7) \n" ); document.write( "----- \n" ); document.write( "x*log(3) = log(3)+log(7) \n" ); document.write( "x = log(21)/log(3) \n" ); document.write( "x = 2.77 \n" ); document.write( "------------------------- \n" ); document.write( "Write 6log4x+log4y as a single logarithm \n" ); document.write( "6*log4(x) + log4(y) \n" ); document.write( "--- \n" ); document.write( "= log4(x^6)+log4(y) \n" ); document.write( "--- \n" ); document.write( "= log4[x^6*y] \n" ); document.write( "====================== \n" ); document.write( "Solve. \n" ); document.write( "3^2x-1 x 81^2/4 \n" ); document.write( "__________________ = 9^5x \n" ); document.write( "27^1-x\r \n" ); document.write( "\n" ); document.write( "-------------- \n" ); document.write( "[3^(2x-1)*(3^4)^(2/4)]/(3^3)^(1-x) = (3^2)^5x \n" ); document.write( "----------------- \n" ); document.write( "[(3)^(2x-1)*(3^2)]/3^(3-3x) = 3^10x \n" ); document.write( "----------------- \n" ); document.write( "[3^(2x+1)/3^(3-3x)] = 3^10x \n" ); document.write( "------------------ \n" ); document.write( "[3^(5x-2)] = 3^10x \n" ); document.write( "----- \n" ); document.write( "5x-2 = 10x \n" ); document.write( "5x = -2 \n" ); document.write( "x = -2/5 \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " \n" ); document.write( " |