document.write( "Question 1082548: Solve for x:
\n" ); document.write( "3^(x+1) + 3^(x+2)=2916\r
\n" ); document.write( "\n" ); document.write( "I could get the answer by guessing, but I want to know the 'proper' way to solve this question. Thanks! \n" ); document.write( "
Algebra.Com's Answer #696642 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Solve for x:
\n" ); document.write( "3^(x+1) + 3^(x+2)=2916\r
\n" ); document.write( "\n" ); document.write( "I could get the answer by guessing, but I want to know the 'proper' way to solve this question. Thanks!
\n" ); document.write( "
\"matrix%281%2C3%2C+3%5E%28x+%2B+1%29+%2B+3%5E%28x+%2B+2%29%2C+%22=%22%2C+%222%2C916%22%29\"
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document.write( " ------- Replacing \"matrix%281%2C3%2C+3%5E%28x+%2B+2%29%2C+with%2C+%283%5E1%29%283%5E%28x+%2B+1%29%29%29\"
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document.write( "
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document.write( "a + 3a = 2,916 ---------- Substituting \"matrix%281%2C3%2C+a%2C+for%2C+3%5E%28x+%2B+1%29%29\"
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document.write( "4a = 2,916
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document.write( "\"matrix%281%2C5%2C+a%2C+%22=%22%2C+%222%2C916%22%2F4%2C+%22=%22%2C+729%29\"
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document.write( "\"matrix%281%2C3%2C+3%5E%28x+%2B+1%29%2C+%22=%22%2C+729%29\" ----- Re-substituting \"matrix%281%2C5%2C+a%2C+%22=%22%2C+729%2C+for%2C+3%5E%28x+%2B+1%29%29\"
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document.write( "\"matrix%281%2C3%2C+3%5E%28x+%2B+1%29%2C+%22=%22%2C+3%5E6%29\" ------ Converting 729 to base 3
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document.write( "x + 1 = 6 ---------- Bases are equal and so are their exponents
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document.write( "\"highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+6+-+1%2C+%22=%22%2C+5%29%29\" \n" );
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