Rozwiąż równania logarytmiczne:
a)
b)
c)
d)
e)
f)
a)1-x
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a)1-x![a) (1-x)^{2} =1/27\\ 1-2x+x^{2}=1/27\\ x^{2}-2x+26/27=0\\ delta= 4-4*26/27=2\\ \sqrt delta=2\sqrt{3} /9\\ x_{1}=4-(4\sqrt3)/9\\ x_{2}=4+(4\sqrt3)/9 a) (1-x)^{2} =1/27\\ 1-2x+x^{2}=1/27\\ x^{2}-2x+26/27=0\\ delta= 4-4*26/27=2\\ \sqrt delta=2\sqrt{3} /9\\ x_{1}=4-(4\sqrt3)/9\\ x_{2}=4+(4\sqrt3)/9](https://tex.z-dn.net/?f=a%29+%281-x%29%5E%7B2%7D+%3D1%2F27%5C%5C+1-2x%2Bx%5E%7B2%7D%3D1%2F27%5C%5C+x%5E%7B2%7D-2x%2B26%2F27%3D0%5C%5C+delta%3D+4-4%2A26%2F27%3D2%5C%5C+%5Csqrt+delta%3D2%5Csqrt%7B3%7D+%2F9%5C%5C+x_%7B1%7D%3D4-%284%5Csqrt3%29%2F9%5C%5C+x_%7B2%7D%3D4%2B%284%5Csqrt3%29%2F9+)