document.write( "Question 550040: in the real numbers what is the solution of the equation 8^2x+1 = 4^1-x?
\n" ); document.write( "could i please have some work with this as well bcuz my answer key has c but i don't know how it got that so an explanation would be much appreciated. Thanks for ur kind generosity and help!\r
\n" ); document.write( "\n" ); document.write( "a.-1/3
\n" ); document.write( "b.-1/4
\n" ); document.write( "c.-1/8
\n" ); document.write( "d.0
\n" ); document.write( "e.1/7
\n" ); document.write( "

Algebra.Com's Answer #358376 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
what is the solution of the equation 8^2x+1 = 4^1-x
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\n" ); document.write( "8^(2x+1) = 4^(1-x)
\n" ); document.write( "8=2^3, 4=2^2
\n" ); document.write( "2^3^(2x+1) = 2^2^(1-x)
\n" ); document.write( "2^3(2x+1) = 2^2(1-x)
\n" ); document.write( "2^(6x+3)=2^(2-2x)
\n" ); document.write( "equate exponents with same base
\n" ); document.write( "6x+3=2-2x
\n" ); document.write( "8x=-1
\n" ); document.write( "x=-1/8
\n" ); document.write( "correct ans is c. above
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