document.write( "Question 155813: Hi Sir/Ma'am,\r
\n" ); document.write( "\n" ); document.write( "Please assist.\r
\n" ); document.write( "\n" ); document.write( "I am helping my daughter who is in high school. I bought the algebrator program but it does not solve this equation:\r
\n" ); document.write( "\n" ); document.write( "6*6^3x=36*6^x\r
\n" ); document.write( "\n" ); document.write( "The book has the answer as x = 1/2 but I cannot get it.\r
\n" ); document.write( "\n" ); document.write( "I get x=3. What I have done is 6*6^3x divided by 36*6X equals 0\r
\n" ); document.write( "\n" ); document.write( "I simplyfy it and get 1*3x divided by 6*x equals 0\r
\n" ); document.write( "\n" ); document.write( "then transpose the 1/6 to get 2x=6\r
\n" ); document.write( "\n" ); document.write( "then x = 3\r
\n" ); document.write( "\n" ); document.write( "I forced the answer but it made no sense.\r
\n" ); document.write( "\n" ); document.write( "The books name is MATHEMATICS A COMPLETE COURSE WITH C.X.C QUESTIONS VOLUME 2. It has no ISBN. The author is Raymond Toolsie B Sc , MACP Published by CARIBBEAN EDUCATIONAL PUBLISHERS LTD PAGE 701 QUESTION 13 B\r
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\n" ); document.write( "\n" ); document.write( "Please help\r
\n" ); document.write( "\n" ); document.write( "Reuel
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Algebra.Com's Answer #114775 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"6%2A6%5E%283x%29=36%2A6%5Ex\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"6%5E1%2A6%5E%283x%29=36%2A6%5Ex\" Rewrite \"6\" as \"6%5E1\"\r
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\n" ); document.write( "\n" ); document.write( "\"6%5E1%2A6%5E%283x%29=6%5E2%2A6%5Ex\" Rewrite \"36\" as \"6%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"6%5E%281%2B3x%29=6%5E%282%2Bx%29\" Multiply the monomials by adding the exponents.\r
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\n" ); document.write( "\n" ); document.write( "Since the bases are equal, this means that the exponents are equal. So this means that \"1%2B3x=2%2Bx\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2B3x=2%2Bx\" Set the exponents equal to one another\r
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\n" ); document.write( "\n" ); document.write( "\"3x=2%2Bx-1\" Subtract \"1\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"3x-x=2-1\" Subtract \"x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=2-1\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=1\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%281%29%2F%282%29\" Divide both sides by \"2\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"x=1%2F2\" which in decimal form is \"x=0.5\". \r
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