document.write( "Question 1209209: Given that x = 2ᵅ and y = 4ⁿ, show clearly that log₂(x²y) = 3α + 2n \n" ); document.write( "

Algebra.Com's Answer #847843 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Given that x = 2ᵅ and y = 4ⁿ, show clearly that log₂(x²y) = 3α + 2n
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This statement can not be proved, since it is $\"highlight%28highlight%28FATALLY%29%29\"$ $\"highlight%28highlight%28WRONG%29%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    To make sure that it is wrong, take a = 1, n = 1.\r\n" );
document.write( "\r\n" );
document.write( "    Then   =  = 4;  y =  = 4;   = 4*4 = 16,\r\n" );
document.write( "\r\n" );
document.write( "     =  = 4,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    but  3a + 2n = 3*1 + 2*1 = 3 + 2 = 5 --->  .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "So, this statement can not be proved - - - but it can be $\"highlight%28highlight%28DISPROVED%29%29\"$ , instead.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );