document.write( "Question 202363: if (125/27)^x = the cubic root of 0.6 then the value of x is _______\r
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Algebra.Com's Answer #852439 by ikleyn(53303) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "if (125/27)^x = the cubic root of 0.6 then the value of x is . . .
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\n" ); document.write( "\n" ); document.write( " This problem can be solved by applying brute force, as tutor @Theo did it.\r
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\n" ); document.write( "\n" ); document.write( " But it can be solved elegantly, if to look at the numbers and to think a bit.\r
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document.write( "Notice that the ratio    in the left side is nothing else as  .\r\n" );
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document.write( "In the right side,  0.6 =  = .\r\n" );
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document.write( "This suggests that the left side is  ,  while the right side is  .\r\n" );
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document.write( "So, our equation is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "This implies\r\n" );
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document.write( "    3x = ,  which gives  x = .\r\n" );
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document.write( "ANSWER.  The solution to this equation is  x = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice that $\"-1%2F9\"$ = -0.111111111111111...\r
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\n" ); document.write( "\n" ); document.write( "Happy learning ( ! )\r
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\n" ); document.write( "\n" ); document.write( "This problem is nice ! It is $\"highlight%28highlight%28specially%29%29\"$ designed so that you would get the solution in $\"highlight%28highlight%28PRECISELY%29%29\"$ $\"highlight%28highlight%28this%29%29\"$ form \r
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