document.write( "Question 1005734: 5. Solve the following equations\r
\n" ); document.write( "\n" ); document.write( "a) 3^m=81\r
\n" ); document.write( "\n" ); document.write( "b) (36p^4)12=24\r
\n" ); document.write( "\n" ); document.write( "c) 5^n×5^n+4=25\r
\n" ); document.write( "\n" ); document.write( "d) 4^7x/256=64^2x+2/16^2x−1
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Algebra.Com's Answer #621886 by stanbon(75887)\"\" \"About 
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)
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\n" ); document.write( "[2^(14x-8) = [2^(12x)/2^(8x-4)]
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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