document.write( "Question 972535: Let $\"x+=+ln%28e%2F%28cuberoot+2%29%29+%2B+ln%28cuberoot%282%2Fe%29%29\"$ $\"y+=+log+%28%281%2F4%29%2C+%28%2816%5E2%29%2F%282%5E3%29%29%29\"$ What is the absolute value of 9x + 4y?\r
\n" ); document.write( "\n" ); document.write( "The cube roots are throwing me \n" ); document.write( "

Algebra.Com's Answer #594828 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let
\n" ); document.write( "x = ln(e/(cuberoot 2)) + ln(cuberoot(2/e))
\n" ); document.write( "------
\n" ); document.write( "x = ln[[e/2^(1/3)] * [(2/e)^(1/3)]]
\n" ); document.write( "------
\n" ); document.write( "x = ln[e/2^(1/3)*(2^(1/3)/(e^(1/3))]
\n" ); document.write( "------
\n" ); document.write( "x = ln[e^(2/3)]
\n" ); document.write( "------
\n" ); document.write( "x = (2/3)
\n" ); document.write( "======================
\n" ); document.write( "y = log ((1/4), ((16^2)/(2^3)))
\n" ); document.write( "----------
\n" ); document.write( "y = log(1/4)[2^8/2^3]
\n" ); document.write( "----------
\n" ); document.write( "y = log(1/4)[2^5]
\n" ); document.write( "----------
\n" ); document.write( "y = log(2^-2)[2^5]
\n" ); document.write( "----------
\n" ); document.write( "Solve: (2^-2)^k = 2^5
\n" ); document.write( "-2k = 5
\n" ); document.write( "k = -5/2
\n" ); document.write( "-----
\n" ); document.write( "Therefore: y = -5/2
\n" ); document.write( "=========================\r
\n" ); document.write( "\n" ); document.write( "What is the absolute value of 9x + 4y?
\n" ); document.write( "|9(2/3) + 4(-5/2)|
\n" ); document.write( "----
\n" ); document.write( "= |6 - 10|
\n" ); document.write( "---
\n" ); document.write( "= 4
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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