Find, in terms of $$\(k\)$$, the largest value of $$\(t\)$$ satisfying the inequality $$\[ \left|2^{t}+2 k\right| \geqslant\left|2^{t+1}-3 k\right| \text {. } \]$$ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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