document.write( "Question 275387: What is the exponent of x^(2/3)=36?
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document.write( "what is the inequality of 2^(x+7) > 1/3^(2)
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document.write( "what is the exponent of 3^(2x-1)=1/243 \n" );
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Algebra.Com's Answer #200861 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! What is the exponent of x^(2/3)=36? \n" ); document.write( "The exponent of x is 2/3. \n" ); document.write( "-------------------------- \n" ); document.write( "what is the inequality of 2^(x+7) > 1/3^(2) \n" ); document.write( "That question makes no sense. The statement 2^(x+7) > 1/3^(2) is an inequality. \n" ); document.write( "--------------------------- \n" ); document.write( "what is the exponent of 3^(2x-1)=1/243 \n" ); document.write( "The exponent of 3 is 2x-1. \n" ); document.write( "-------------------------------- \n" ); document.write( "I suspect you want to solve these ?? \n" ); document.write( "What is the exponent of x^(2/3)=36? \n" ); document.write( "Try \"solve for x\" \n" ); document.write( "x^(2/3) = 36 \n" ); document.write( "Take the square root of both sides. \n" ); document.write( "x^(1/3) = 6, -6 \n" ); document.write( "Cube both sides \n" ); document.write( "x = 216, -216 \n" ); document.write( "---------------- \n" ); document.write( "2^(x+7) > 1/3^(2) \n" ); document.write( "2^(x+7) > 1/9 \n" ); document.write( "(x+7)*log(2) > log(1/9) \n" ); document.write( "x+7 > log(1/9)/log(2) \n" ); document.write( "x > log(1/9)/log(2) - 7 \n" ); document.write( "x > -34.34258656 \n" ); document.write( "----------------- \n" ); document.write( "3^(2x-1)=1/243 \n" ); document.write( "243 = 3^5 \n" ); document.write( "3^(2x-1)=3^(-5) \n" ); document.write( "2x-1 = -5 \n" ); document.write( "2x = -4 \n" ); document.write( "x = -2 \n" ); document.write( " \n" ); document.write( " |