document.write( "Question 253327: Solve 125^(9x-2)=150\r
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document.write( "Solve 1/16=64^(4x-3)\r
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document.write( "Solve log(x+9)-logx=3\r
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document.write( "Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary. \n" );
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Algebra.Com's Answer #185624 by hokies(65)![]() ![]() You can put this solution on YOUR website! A. Use the power rule for logarithms: \n" ); document.write( "(9x-2)*log(125)=log(150) \n" ); document.write( "9x = log(150)/log(125)+2 \n" ); document.write( "x = (log(150)/log(125)+2)/9\r \n" ); document.write( "\n" ); document.write( "B. 1/16=64^(4x-3) \n" ); document.write( "4^(-2)=4^(3*(4x-3)) \n" ); document.write( "-2 = 3*(4x-3) \n" ); document.write( "-2/3 = 4x-3 \n" ); document.write( "4x = 3-2/3 \n" ); document.write( "4x = 7/3 \n" ); document.write( "x = 7/12\r \n" ); document.write( "\n" ); document.write( "C. log(x+9)-log(x)=3 \n" ); document.write( "Use the division rule for logarithms: \n" ); document.write( "log((x+9)/x)=3 \n" ); document.write( "(x+9)/x = 10^3 \n" ); document.write( "1+9/x = 10^3 \n" ); document.write( "9/x = 999 \n" ); document.write( "x = 9/999 \n" ); document.write( "x = 1/111\r \n" ); document.write( "\n" ); document.write( "D. x=1.16 \n" ); document.write( " |