Question

2^x-1 + 2^x+1 = 320


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Answer 1

Answer:

x=7

Step-by-step explanation:

$2^{x-1} +2^{x+1} =320\\2^{x} 2^{-1} +2^{x} 2^{1} =320\\\frac{2^{x} }{2 } +2^{x} 2 =320\\\frac{2^{x}+4.2^{x} }{2} =320\\2^{x}+4.2^{x}=640\\2^{x}(1+4)=640\\5.2^{x}=640\\2^{x}=\frac{640}{5} \\2^{x}=128\\2^{x}=2^{7}\\x=7$