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1)![2^{3-7 sqrt{2} }*8^{ frac{7 sqrt{2} }{3} }=2^{3-7 sqrt{2} }*2^{3 frac{7 sqrt{2} }{3} }=2^{3-7 sqrt{2} }*2^{7 sqrt{2} }=2^{3-7 sqrt{2} +7 sqrt{2} }= \ =2^3=8 2^{3-7 sqrt{2} }*8^{ frac{7 sqrt{2} }{3} }=2^{3-7 sqrt{2} }*2^{3 frac{7 sqrt{2} }{3} }=2^{3-7 sqrt{2} }*2^{7 sqrt{2} }=2^{3-7 sqrt{2} +7 sqrt{2} }= \ =2^3=8](https://tex.z-dn.net/?f=2%5E%7B3-7+sqrt%7B2%7D+%7D%2A8%5E%7B+frac%7B7+sqrt%7B2%7D+%7D%7B3%7D+%7D%3D2%5E%7B3-7+sqrt%7B2%7D+%7D%2A2%5E%7B3+frac%7B7+sqrt%7B2%7D+%7D%7B3%7D+%7D%3D2%5E%7B3-7+sqrt%7B2%7D+%7D%2A2%5E%7B7+sqrt%7B2%7D++%7D%3D2%5E%7B3-7+sqrt%7B2%7D+%2B7+sqrt%7B2%7D++%7D%3D+%5C+%3D2%5E3%3D8)
2)![( frac{1}{4} )^{1-2x}=64 \ 4} ^{2x-1}=4^3 ( frac{1}{4} )^{1-2x}=64 \ 4} ^{2x-1}=4^3](https://tex.z-dn.net/?f=%28+frac%7B1%7D%7B4%7D+%29%5E%7B1-2x%7D%3D64+%5C+4%7D+%5E%7B2x-1%7D%3D4%5E3)
2x-1=3
2x=4
x=2
3)![3^{5x-1}=27 \ 3^{5x-1}=3^3 3^{5x-1}=27 \ 3^{5x-1}=3^3](https://tex.z-dn.net/?f=3%5E%7B5x-1%7D%3D27+%5C+3%5E%7B5x-1%7D%3D3%5E3)
5x-1=3
5x=4
x=5/4=1,25
2)
2x-1=3
2x=4
x=2
3)
5x-1=3
5x=4
x=5/4=1,25
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