Răspuns:
a)2^x=8
2×2=4
4×2=8
×=8
b)x²=9
2×2=4 Nu merge
3×3=9 Merge
x=3
c)3^x=81
3²=9
3³=27
3⁴=81
V:3×3×3×3=
=9×9=
=81
x=4
d)x²=81
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
x=9
e)1^x=1
x poate orice valoare deoarece orice putere la 1 dă 1.
Ex:1×1×1×...×1×1×1=1
f)x¹=1²⁰²¹
1²⁰²¹=1
x=1
g)x⁰=1
x=Orice nr. (deoarece ştim că orice nr. la puterea 0 va da 1.)
h)x³<100
0³=0
1³=3
2³=8
3³=27
4³=64
5³=125 Nu merge
x=0,1,2,3,4
i)2^x<100
2⁰=1
2¹=2
2²=4
2³=8
2⁴=16
2⁵=32
2⁶=64
2⁷=128 Nu merge
x=0,1,2,3,4,5,6
j)x⁷=0
0⁷=0
x=0
k)2^x+3^y<20
2⁰+3⁰=1+1=2
2¹+3⁰=2+1=3
2²+3⁰=4+1=5
2³+3⁰=8+1=9
2⁴+3⁰=16+1=17
x=0,1,2,3,4
l)1²+2^x+3^y<4
1²=1
1+2⁰+3⁰=1+1+1=3
1+2¹+3⁰=1+2+1=4 Nu merge
x=0
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