document.write( "Question 872441: Solve algebraically for x : $\"16%5E%28x%2B4%29\"$ $\"%22%22=%22%22\"$ $\"64%5E%28x%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #526159 by Alan3354(69443) $\"\"$ $\"About$

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Solve algebraically for x : 16^x+4 = 64^x+1
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\n" ); document.write( "If you mean:
\n" ); document.write( "16^(x+4) = 64^(x+1)
\n" ); document.write( "4^(2x+8) = 4^(3x+3)
\n" ); document.write( "2x+8 = 3x+3
\n" ); document.write( "x = 5
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\n" ); document.write( "The long way:
\n" ); document.write( "(x+4)*log(16) = (x+1)*log(64)
\n" ); document.write( "x*log(16) + 4log(16) = x*log(64) + log(64)
\n" ); document.write( "x*(log(16) - log(64)) = log(64) - log(65536)
\n" ); document.write( "x = log(1/1024)/log(1/4)
\n" ); document.write( "x = 5\r
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