document.write( "Question 763313: (27) ^2x+1 = 3^-1. Solve for x.
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document.write( "Choose one answer.
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document.write( " a. 2/3
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document.write( " b. No solution
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document.write( " c. 3/2
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document.write( " d. -2/3
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document.write( " e. -3/2 \n" );
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Algebra.Com's Answer #464689 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! 27^(2x + 1) = 3^-1 \n" ); document.write( "3^3(2x + 1) = 3^-1 {changed 27 to have a base of 3} \n" ); document.write( "3(2x + 1) = -1 {since bases are equal, set exponents equal to each other} \n" ); document.write( "6x + 3 = -1 {used distributive property} \n" ); document.write( "6x = -4 {subtracted 3 from each side} \n" ); document.write( "x = -2/3 {divided each side by 6 and reduced} \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |