Question

Determinati numarul natural x care verifica relatiile
a)x^2=16
b)x^=1
c)x^4=81
d)2^x<3
f)r^x+1≤243
g)2^x=3^x
h)3^x≥5^x
Va rog !! ajutatima dau coroana !

Answer 1

numara natural=numar strict pozitiv
a)x²=16
    x²=4²
     x=4
b)x²=1
    x²=1²
     x=1

c)x⁴=81
    x⁴=3⁴
     x=3

d)2^x<3
x=1
2¹=2  <3

f)r^x+1≤243
r^x≤242        √242=11√2
r=1  x={1....∞}
r=2  x={1,2,3,4,5,6,7}
r=3  x={1,2,3,4}
r=5  x={1,2,3}
r=6  x={1,2,3}
r=7  x={1,2}
r=8  x={1,2}
r=9  x={1,2}
r=10  x={1,2}
r=11  x={1,2}

g)2^x=3^x
x=0
2°=3°=1

h)3^x≥5^x
(3/5)^x≥0
x=0
(3/5)^0=1