document.write( "Question 1105187: If n and p are positive integers such that 8(2^p) = 4^n , what is n in terms of p? \n" ); document.write( "

Algebra.Com's Answer #719921 by rothauserc(4718) $\"\"$ $\"About$

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8(2^p) = 4^n
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\n" ); document.write( "Note rewrite above as
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\n" ); document.write( "2^(3+p) = 4^n
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\n" ); document.write( "now we can write
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\n" ); document.write( "4^n = 2^(3+p)
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\n" ); document.write( "take logarithm base 4 of both sides
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\n" ); document.write( "n = ln ( 2^(3+p) ) / ln (4) for 2^p > 0 and ln is the natural logarithm
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