document.write( "Question 744924: Express y as a function of x. What is the domain?
\n" ); document.write( "a) log(base 2)xy = 3log(base 2)x
\n" ); document.write( "b) log(base 5)y = 2log(base 5)x+1 + log(base 5)x-1
\n" ); document.write( "b) log(base 3)y-3 = 1 + 2log(base 3)\r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
\n" ); document.write( "Can you also show all the steps because it would help me understand :)
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Algebra.Com's Answer #453607 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Express y as a function of x. What is the domain?
\n" ); document.write( "a) log(base 2)xy = 3log(base 2)x
\n" ); document.write( "---
\n" ); document.write( "log2(x)+log2(y) = log2(3^x)
\n" ); document.write( "log2(y) = log2(3^x)-log2(x)
\n" ); document.write( "log2(y) = log2[3^x/x]
\n" ); document.write( "y = 3^x*x
\n" ); document.write( "Domain: x > 0
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\n" ); document.write( "b) log(base 5)y = 2log(base 5)x+1 + log(base 5)x-1
\n" ); document.write( "log5(y) = log5[(x+1)^2 * (x-1)]
\n" ); document.write( "y = (x+1)^2*(x-1)
\n" ); document.write( "Domain: x > 1
\n" ); document.write( "============================================
\n" ); document.write( "b) log(base 3)y-3 = 1 + 2log(base 3)?
\n" ); document.write( "log3(y-3) = 1 + log3(?^2)
\n" ); document.write( "Domain: x > 3
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\n" ); document.write( "Note: The ? is there because your post is missing something.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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