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Hey there!
2^x-1 + 2^x+1 = 320
2^x ( 2^-1 + 2¹) = 320
2^x ( 1/2 + 2 ) = 320
2^x ( 5/2) = 320
2^x = 320×2/5
2^x = 128
2^x = 2^7
As bases are equal, Powers are also equal.
x = 7.
: )
2^x-1 + 2^x+1 = 320
2^x ( 2^-1 + 2¹) = 320
2^x ( 1/2 + 2 ) = 320
2^x ( 5/2) = 320
2^x = 320×2/5
2^x = 128
2^x = 2^7
As bases are equal, Powers are also equal.
x = 7.
: )
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