document.write( "Question 144344: Write a power function y=ax^b whose graph passes through the given points: A) (2,2)(4,16) B.) (3,3),(6,12) \n" ); document.write( "

Algebra.Com's Answer #105118 by scott8148(6628) $\"\"$ $\"About$

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A. substituting __ 2=a2^b\r
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\n" ); document.write( "\n" ); document.write( "substituting __ 16=a4^b\r
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\n" ); document.write( "\n" ); document.write( "dividing __ 16/2=(a4^b)/(a2^b) __ 8=(4^b)/(2^b) __ 8=(4/2)^b __ 8=2^b\r
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\n" ); document.write( "\n" ); document.write( "__ taking logarithm __ log(8)=b(log(2)) __ log(8)/log(2)=b __ 3=b\r
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\n" ); document.write( "\n" ); document.write( "substituting __ 2=a(2^3) __ 2=8a __ 1/4=a\r
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\n" ); document.write( "\n" ); document.write( "B. substituting __ 3=a3^b\r
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\n" ); document.write( "\n" ); document.write( "substituting __ 12=a6^b\r
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\n" ); document.write( "\n" ); document.write( "dividing __ 12/3=(a6^b)/(a3^b) __ 4=(6^b)/(3^b) __ 4=(6/3)^b __ 4=2^b\r
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\n" ); document.write( "\n" ); document.write( "__ taking logarithm __ log(4)=b(log(2)) __ log(4)/log(2)=b __ 2=b\r
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\n" ); document.write( "\n" ); document.write( "substituting __ 3=a(3^2) __ 3=9a __ 1/3=a \n" ); document.write( "

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