Question

Determinati numerele x si y astfel incat:
a) 2 la puterea x =8
b) 1 la puterea x= 1
c) x²=9
d)2 la puterea x <1000
e) x¹=1²⁰¹¹
f) x⁷=0

Answer 1

a) $2^{x} =8$
$2^{x}= 2^{3} =\ \textgreater \ x=3$

b) $1^{x}=1$  => x=0 sau x=1

c)$x^{2} =9$
 $x^{2} = 3^{2}$  => x=3 sau x= -3

d) $2^{x} \ \textless \ 1000$ => x∈{ 1,2,3,4,5,6,7,8,9}

e) $x^{1} = 1^{2011} \ \textless \ =\ \textgreater \ x=1$

f) $x^{7}=0 =\ \textgreater \ x= 0$