document.write( "Question 1204752: If 6^(2x+1) = k, then 6^(4x+3) equals\r
\n" ); document.write( "\n" ); document.write( "A 12k
\n" ); document.write( "B k^2 + 6
\n" ); document.write( "C 6k^2
\n" ); document.write( "D 2k + 6
\n" ); document.write( "E 36k^2 \n" ); document.write( "

Algebra.Com's Answer #841212 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "If 6^(2x+1) = k, then 6^(4x+3) equals
\n" ); document.write( "A 12k
\n" ); document.write( "B k^2 + 6
\n" ); document.write( "C 6k^2
\n" ); document.write( "D 2k + 6
\n" ); document.write( "E 36k^2
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\n" ); document.write( "\n" ); document.write( "

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document.write( "   = trace/watch attentively each and every my step = \r\n" );
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document.write( "=  =  =   = .\r\n" );
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document.write( "ANSWER.  Option (C).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Is everything clear to you from my solution ?\r
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\n" ); document.write( "\n" ); document.write( "In this problem, we have a given basic equation $\"6%5E%282x%2B1%29\"$ = k and an expression to evaluate $\"6%5E%284x%2B3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "An idea of the method is to transform the given \"expression to evaluate\" step by step to get the given basic expression \r
\n" ); document.write( "\n" ); document.write( "in it somewhere on the way, and then to replace one side of the given basic expression by its other side.\r
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\n" ); document.write( "\n" ); document.write( "Then a miracle will happen literally in front of your eyes and you will get the required proof
\n" ); document.write( "(or evaluation, or reduction) in minutes ( ! )\r
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\n" ); document.write( "\n" ); document.write( "If you will solve such problem once in your life (or if somebody will show you this trick
\n" ); document.write( "once in your life, as I do it here for you), you will MEMORIZE it and will be able to repeat it
\n" ); document.write( "in hundreds other similar problems/cases in your life.\r
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\n" ); document.write( "\n" ); document.write( "It is worth to memorize HOW it works - then you will have a wonderful mathematical weapon in your possessions ( ! )\r
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\n" ); document.write( "\n" ); document.write( "In his post, tutor @math_tutor2020 repeated my solution practically with no change - thanks to him for it,\r
\n" ); document.write( "\n" ); document.write( "even although he did not mention about it. Probably, he forgot to mention, or couldn't find the right/appropriate words.\r
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\n" ); document.write( "\n" ); document.write( "Dear tutor @math_tutor2020, when I tell about mentioning, I worry not about my rights.
\n" ); document.write( "I worry about a reader / (a student): what he will think by seeing
\n" ); document.write( "two identical texts in one post ? - At least, he will have mess in his/her mind.\r
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\n" ); document.write( "\n" ); document.write( "It is what I'd like to avoid.\r
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