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Question Number 116907 by math35 last updated on 07/Oct/20

Answered by Lordose last updated on 07/Oct/20

$$2^{\mathrm{x}+2}\times 2^{3(2\mathrm{x}-3)}=2^{10}$$$$2^{\mathrm{x}+2+6\mathrm{x}-9}=2^{10}$$$$7\mathrm{x}-7=10$$$$\mathrm{x}=\frac{17}{7}$$

Answered by Olaf last updated on 07/Oct/20

$$(x+2)\ln 2+(2x-3)\ln 8=\ln 1024$$$$(x+2)\ln 2+3(2x-3)\ln 2=10\ln 2$$$$7x=17$$$$x=\frac{17}{7}$$

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