document.write( "Question 275387: What is the exponent of x^(2/3)=36?
\n" ); document.write( "what is the inequality of 2^(x+7) > 1/3^(2)
\n" ); document.write( "what is the exponent of 3^(2x-1)=1/243
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Algebra.Com's Answer #200861 by Alan3354(69443)\"\" \"About 
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What is the exponent of x^(2/3)=36?
\n" ); document.write( "The exponent of x is 2/3.
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\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.
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\n" ); document.write( "what is the exponent of 3^(2x-1)=1/243
\n" ); document.write( "The exponent of 3 is 2x-1.
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\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
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\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
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\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
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