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Question Number 204610 by mnjuly1970 last updated on 23/Feb/24

$$$$$$If,f\left(x\right)=\{\begin{array}{l}{2}^{2x}-{log}_3(x+3);x⩾5\\ f(1+x)-4;x<5\end{array}$$$$$$$$\Rightarrow f\left(0\right)=?$$$$$$

Answered by Rasheed.Sindhi last updated on 23/Feb/24

$$f\left(0\right)=f\left(1\right)-4$$$$=f\left(2\right)-8$$$$=f\left(3\right)-12$$$$=f\left(4\right)-16$$$$=f\left(5\right)-20$$$$=2^{2\left(5\right)}-{\log }_3(5+3)-20$$$$=1004-{\log }_3\left(8\right)$$

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