document.write( "Question 27598: (3/5)^x = (125/27) Thank you. \n" ); document.write( "

Algebra.Com's Answer #15012 by askmemath(368) $\"\"$ $\"About$

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Write the numbers on the Right Hand side in terms of the numbers on the Left hand Side
\n" ); document.write( "We know that 125 = 5*5*5
\n" ); document.write( "and 27 = 3*3*3\r
\n" ); document.write( "\n" ); document.write( "SO $\"%283%2F5%29%5EX+=5%2A5%2A5%2F%283%2A3%2A3%29\"$
\n" ); document.write( " $\"%283%2F5%29%5EX+=+%285%2F3%29%5E%283%29\"$ \r
\n" ); document.write( "\n" ); document.write( "But we know that $\"1%2Fa+=+a%5E%28-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So re-writing the left hand side we get
\n" ); document.write( " $\"%283%2F5%29%5EX+=+%283%2F5%29%5E%28-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "which means X = -3 :-) \n" ); document.write( "

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