document.write( "Question 1204250: Let x be a real number such that 625^x=64 Then
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Algebra.Com's Answer #840382 by ikleyn(52865)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\"highlight%28highlight%28First%29%29\",  the problem in the post is written incorrectly.
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document.write( "    Let x be a real number such that \"625%5Ex\" = 64.\r\n" );
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document.write( "    Then  \"125%5Ex\" = \"a%2Asqrt%28b%29\".  Find \"a\" and \"b\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "\"highlight%28highlight%28Second%29%29\",  the  \" solution \"  by  @MathLover1 is  TOTALLY  WRONG.\r
\n" ); document.write( "\n" ); document.write( "I came to bring a correct solution.\r
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document.write( "We are given  \"625%5Ex\" = 64.\r\n" );
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document.write( "It is the same as to write\r\n" );
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document.write( "    \"5%5E%284x%29\" = 64.    (1)\r\n" );
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document.write( "Then\r\n" );
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document.write( "    \"125%5Ex\" = \"5%5E%283x%29\" = \"%285%5E%284x%29%29%5E%283%2F4%29\" = now replace  \"5%5E%284x%29\"  by  64,  based on  (1)  = 64^(3/4) = 8^(3/2) = \"8%2Asqrt%288%29\".\r\n" );
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document.write( "Thus the problem is just solved.  a = 8;  b = 8.     ANSWER\r\n" );
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document.write( "If 625^x = 64,  then  x*log(625) = log(64), x = \"log%28%2864%29%29%2Flog%28%28625%29%29\" = 0.646014837  (approximately).\r\n" );
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document.write( "Next,  \"125%5Ex\" = \"125%5E0.646014837\" = 22.627417 (approximately);   \r\n" );
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document.write( "       \"8%2Asqrt%288%29\" = 22.627417  (the same value).   Check is completed and confirms the answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For safety of your mind, simply ignore the post by @MathLover1.\r
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\n" ); document.write( "\n" ); document.write( "Observing her activity at this forum during years, I learned that she DOES NOT know Math, at all
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\n" ); document.write( "\n" ); document.write( "Her method to work at this forum is to re-write from other tutors or from web-sites
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\n" ); document.write( "\n" ); document.write( "If she does not find the source to re-write from, she writes any gibberish,
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\n" ); document.write( "\n" ); document.write( "Such \"tutors\" should not be allowed approaching to Math education closer than a cannon shot.\r
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