Question

Scrieti numarul natural x care verifica egalitatea :
a) 2 la puterea x = 16 
b) 3 la puterea x = 243 
c) ( x + 1) ² = 144 
d) 2 la puterea x + 2 la puterea x +² = 80

Answer 1

a) 2 la puterea x = 16

2 la puterea x =2⁴

x=4


b) 3 la puterea x = 243


3 la puterea x=3⁵

x=5
c) ( x + 1) ² = 144

( x + 1) ²=12²

x+1=12
x=12-1
x=11

d) 2 la puterea x + 2 la puterea x +2= 80

2 la puterea x(1+2²)=80


2 la puterea x*5=80


2 la puterea x=80:5


2 la puterea x=16

2 la puterea x=2⁴

x=4