document.write( "Question 55488: PLEASE HELP ME:
\n" ); document.write( "Solve the equation 4^2x+1=2^3x+6 \n" ); document.write( "

Algebra.Com's Answer #37649 by funmath(2933) $\"\"$ $\"About$

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Solve the equation
\n" ); document.write( " $\"4%5E%282x%2B1%29=2%5E%283x%2B6%29\"$ 4 is 2^2 so...
\n" ); document.write( " $\"%282%5E2%29%5E%282x%2B1%29=2%5E%283x%2B6%29\"$
\n" ); document.write( " $\"%282%29%5E%282%282x%2B1%29%29=2%5E%283x%2B6%29\"$ Since the bases are equal their exponents are equal:
\n" ); document.write( " $\"2%282x%2B1%29=%283x%2B6%29\"$
\n" ); document.write( " $\"4x%2B2=3x%2B6\"$
\n" ); document.write( " $\"-3x%2B4x%2B2=-3x%2B3x%2B6\"$
\n" ); document.write( " $\"x%2B2=6\"$
\n" ); document.write( " $\"x%2B2-2=6-2\"$
\n" ); document.write( " $\"highlight%28x=4%29\"$
\n" ); document.write( "Check by substitution:
\n" ); document.write( " $\"4%5E%282%284%29%2B1%29=2%5E%283%284%29%2B6%29\"$
\n" ); document.write( " $\"4%5E%288%2B1%29=2%5E%2812%2B6%29\"$
\n" ); document.write( " $\"4%5E9=2%5E18\"$
\n" ); document.write( " $\"262144=262144\"$ We're right!!!
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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