Find x if (4/11)^x+3 = (11/4)^x-5
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Step-by-step explanation:
(4/11)^x-1 = (11/4)^x-5(11/4)^x-5 = (4/11)^5-xso (4/11)^x-1 = (4/11)^5-x(4/11)^x-1/(4/11)^5-x = (4/11)^x-1–5+x = (4/11)^2x-6 = 1
The only solution for this equation would be 2x-6 = 0, giving x = 3.
Left handside (4/11)^x-1 = (4/11)^2
Right hand side (11/4)^x-5 = (11/4)^-2 = (4/11)^2
LHS = RHS.
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