[tex]\displaystyle 2^{x+3}-3*2^x=10\sqrt{2} \\\\ 2^x*2^3-3*2^x=10\sqrt{2}\\\\ 2^x(8-3)=10\sqrt{2} \\\\ 2^x*5=10*2^{\frac{1}{2} } \ | *\frac{1}{5} \\\\ 2^x=2* 2^{\frac{1}{2} } \\\\ 2^x=2^{\frac{1}{2}+1 }[/tex]
x=1,5 ∈ [1; 2) - Г
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[tex]\displaystyle 2^{x+3}-3*2^x=10\sqrt{2} \\\\ 2^x*2^3-3*2^x=10\sqrt{2}\\\\ 2^x(8-3)=10\sqrt{2} \\\\ 2^x*5=10*2^{\frac{1}{2} } \ | *\frac{1}{5} \\\\ 2^x=2* 2^{\frac{1}{2} } \\\\ 2^x=2^{\frac{1}{2}+1 }[/tex]
x=1,5 ∈ [1; 2) - Г