document.write( "Question 1204250: Let x be a real number such that 625^x=64 Then
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Algebra.Com's Answer #840498 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let x be a real number such that 625^x=64 Then\r\n" );
document.write( "125x=a√b. What are a and b?\r\n" );
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document.write( "That woman is TOTALLY LOST and CLUELESS!!! Who ever heard of EQUATING the EXPONENTS of 2 exponential expressions when they have DIFFERENT bases? \r\n" );
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document.write( "It appears, as TUTOR @IKLEYN states, that the correct equation is: \"matrix%281%2C3%2C+125%5Ex%2C+%22=%22%2C+a%2Asqrt%28b%29%29\".\r\n" );
document.write( "                 A different \"spin\" on this is:  \r\n" );
document.write( "As seen directly above, 2 is being used as the BASE of 64 i/o 8, as Tutor @IKLEYN did. But, 4 could've also been used\r\n" );
document.write( "since 64 = 43. So, as you may know and can clearly see, 64 can either be expressed as 82, 26, or 43.\r\n" );
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document.write( "                                                       \"matrix%281%2C3%2C+125%5Ex%2C+%22=%22%2C+matrix%282%2C1%2C+%22+%22%2C+2%5E%289%2F2%29%29%29\" ----- EQUATING BASES, since EXPONENTS are the same\r\n" );
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document.write( "                                                       \"matrix%281%2C3%2C+125%5Ex%2C+%22=%22%2C+16sqrt%282%29%29\" -------- \r\n" );
document.write( "As \"a\" and \"b\" are being sought from the equation: 125x = a√b, and \"matrix%281%2C3%2C+125%5Ex%2C+%22=%22%2C+16sqrt%282%29%29\", then IN THIS CASE, a = 16, while b = 2\r\n" );
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document.write( "BTW, \"16sqrt%282%29\" is the SAME as \"8sqrt%288%29\". Check this yourself!! And, if base 4 (43) is used for 64, another set of values for \"a\" and \"b\" \r\n" );
document.write( "- maybe a different set - will ensue! You may want to try that one on your own since 2 of us already used bases 8 and 2. Okay?\r\n" );
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document.write( "Therefore, there is no UNIQUE INTEGER set of values for \"a\" and \"b.\"
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