document.write( "Question 1005734: 5. Solve the following equations\r
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document.write( "a) 3^m=81\r
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document.write( "b) (36p^4)12=24\r
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document.write( "c) 5^n×5^n+4=25\r
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document.write( "d) 4^7x/256=64^2x+2/16^2x−1 \n" );
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Algebra.Com's Answer #621886 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following equations \n" ); document.write( "a) 3^m=81 \n" ); document.write( "3^m = 3^4 \n" ); document.write( "m = 4 \n" ); document.write( "----------------- \n" ); document.write( "b) (36p^4)12=24 \n" ); document.write( "36p^4 = 2 \n" ); document.write( "-- \n" ); document.write( "p^4 = 1/18 \n" ); document.write( "p = (1/18)*18^(1/4) \n" ); document.write( "-------------------------- \n" ); document.write( "c) 5^n×5^(n+4)=25 \n" ); document.write( "5^(2n+4) = 5^2 \n" ); document.write( "2n+4 = 2 \n" ); document.write( "2n = -2 \n" ); document.write( "n = -1 \n" ); document.write( "--------------------\r \n" ); document.write( "\n" ); document.write( "d) 4^7x/256=64^2x+2/16^2x−1 \n" ); document.write( "------ \n" ); document.write( "(2^2)^(7x)/2^8 = (2^6)^(2x)/(2^4)^(2x-1) \n" ); document.write( "------ \n" ); document.write( "[2^(14x-8) = [2^(12x)/2^(8x-4)] \n" ); document.write( "====== \n" ); document.write( "2^(14x-8) = 2^(4x+4) \n" ); document.write( "------- \n" ); document.write( "14x-8 = 4x+4 \n" ); document.write( "10x = 12 \n" ); document.write( "x = 1.2 \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( "- \n" ); document.write( " |