document.write( "Question 972081: If 7^(2x)=3 What is the value of 7^(6x-1)?\r
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Algebra.Com's Answer #854512 by ikleyn(53879)\"\" \"About 
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\n" ); document.write( "If 7^(2x)=3 What is the value of 7^(6x-1)?
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\n" ); document.write( "\n" ); document.write( "        The answer in the post by @lwsshak3 is incorrect (numerically wrong),\r
\n" ); document.write( "\n" ); document.write( "        and the way how he solves the problem is not which is expected.\r
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\n" ); document.write( "\n" ); document.write( "        A standard method is different.\r
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document.write( "\"7%5E%286x-1%29\" = \"%287%5E%286x%29%29%2F7\" = \"%28%287%5E%282x%29%29%5E3%29%2F7\" = now replace here \"7%5E%282x%29\" by 3, as it is given, and continue = \"3%5E3%2F7\" = \"27%2F7\" = 3.857142857 (approximately)\r\n" );
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document.write( "ANSWER.  The exact value is  \"27%2F7\".  The decimal approximation is 3.857142857.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "This way is what a teacher expects to get from a student - not the way which @lwsshak3 uses in his post.\r
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\n" ); document.write( "\n" ); document.write( "For this problem and for many other similar problems the expected way is to build a chain of identities,
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