document.write( "Question 1111532: 6^10x − 6^5x − 30 = 0 \n" ); document.write( "
Algebra.Com's Answer #726533 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "Obvious  answer.   x = 0.2.\r
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document.write( "Introduce new variable  u = \"6%5E%285x%29\".\r\n" );
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document.write( "Then your equation becomes\r\n" );
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document.write( "\"u%5E2+-+u+-+30\" = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "(u-6)*(u+5) = 0.\r\n" );
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document.write( "The two roots to the last equation are  u= 6  and  u= -5,\r\n" );
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document.write( "but since u = \"6%5E%285x%29\",   only positive root  works  u = 6,\r\n" );
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document.write( "which gives  \"6%5E%285x%29\" = 6;   Hence,  5x = 1  and  x= 0.2.\r\n" );
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\n" ); document.write( "Introducing new variable is the STANDARD method of solving exponential equations.\r
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\n" ); document.write( "\n" ); document.write( "See the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Solving exponential equations\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Exponential equations\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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