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Question Number 166431 by BagusSetyoWibowo last updated on 20/Feb/22

$$2\frac{2^x}{16,0}=5,7^2-0,49+0$$$$Howmuchthexis?$$

Answered by alephzero last updated on 20/Feb/22

$$2\frac{2^x}{16}=32$$$$\Rightarrow \frac{32+2^x}{16}=32$$$$\Rightarrow 2^x=480$$$$\Rightarrow x={\log }_{2}480$$$$\Rightarrow x={\log }_2(32\cdot 15)$$$$\Rightarrow x={\log }_{2}32+{\log }_{2}15$$$$\Rightarrow x=5+{\log }_{2}15$$

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