va rog frumos❤ te rogggggg

[tex]\it\ a)\ \longrightarrow\ 3)\\ \\ b)\ \longrightarrow\ 4)\\ \\ c)\ \longrightarrow\ 1)\\ \\ d)\ \longrightarrow\ 2)[/tex]
[tex]\it a)\ x^2:(3^2)^2=2^2 \Rightarrow x^2:9^2=2^2 \Rightarrow x^2=9^2\cdot2^2 \Rightarrow x=9\cdot2=18\\ \\ b)\ 196:x^2=7^4:7^2 \Rightarrow 14^2:x^2=7^2 \Rightarrow 14:x=7 \Rightarrow x=2\\ \\ c)\ 111_{(x)}=73_{(10)} \Rightarrow x^2+x+1=73|_{-1} \Rightarrow x(x+1)=72=8\cdot9 \Rightarrow x=8\\ \\ d)\ 324:5^x=(2\cdot3^2)^2 \Rightarrow 18^2:5^x=18^2 \Rightarrow 5^x=1 \Rightarrow x=0[/tex]
Răspuns:
a. = 3.
b. = 4.
c. aici chiar nush
d. = 2.
Explicație pas cu pas:
a.
x^2 : (3^2)^2 = 2^2
x^2 : 3^4 = 4
x^2 / 3^4 = 4
x^2 / 81 = 4
x^2 = 324
x = 18
b.
196 : x^2 = 7^4 : 7^2
196 / x^2 = 7^2
196 / x^2 = 49
196 = 49x^2
49x^2 = 196
x^2 = 4
x = 2
d.
324 / 5^x = (2x9)^2
324 / 5^x = 18^2
324 / 5^x = 324
324 = 324 x 5^x
324 x 5^x = 324
5^x = 1
5^x = 5^0
x = 0
Sper ca te am ajutat , o coroană daca se poate ;))