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Rezolvati ecuatiile
a) x+21x11 = 5 la puterea 4 -19x3
b) x-(7 la puterea 2 - 44) = 29x8-2 la puterea 5
c) 6x : 15 + 7 la puterea 2 x5= 15 la puterea 2 + 17x3-27
d) x-(29x5-12 la puterea a 2) = 25 la puterea 2 - 2x11x10
e) 18:[(5 la puterea 2 - 5x) x2-11] = 2
f) 2014-{2015-{2014-(2013-x)]} = 2012


Răspuns :

a) x+231=5^{-53}
x+231=1/5^{53}
x=1/5^{-53}-231

b) x-7^{-42}=5^{4-57}
x-1/7^{42}=1/5^{53}
x-1/7^{42}=1/5^{53}
x=1/5^{53}+1/7^{42}

c) 6x/15+7^{10}=15^{26}
2x/5+7^{10}=15^{26}
2x=5*15^{26}-5*7^{10}
x= \frac{5*15^{26}}{2}-\frac{5*7^{10}}{2} 

d) x-(145-12^{2})=625-220
x-145+144=405
x-1=405
x=406

e) 18/[(25-5x)*2-11]=2
18/(39-10x)=2
18=2(39-10x)
9=39-10x
10x=30
x=3

f) 2014-[2015-(2014-2013+x)]=2012
2014-(2014-x)=2012
2014-2014+x=2012
x=2012
 Coroana?