If ( 4/11) raised to power x-1 = (11/4) raised to power x-5 , then x is equal to :
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Step-by-step explanation:
Given equation is (4/11)^(x-1) = (11/4)^(x-5)
=> (11/4)^(1-x) = (11/4)^(x-5)
Since a^-n = 1/a^n
and
Since the bases are equal then exponents must be equal.
=> 1-x = x-5
=> 1+5 = x+x
=> 6 = 2x
=> 2x = 6
=> x = 6/2
=> x = 3
The value of x = 3
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