Question

(3la puterea x ) totul la a2a = 3 la puterea a8a
x=?
Help me !!!

Answer 1

[tex](3^x)^2=3^8\\ (3^x)^2=(3^4)^2\\ 3^x=3^4 \Rightarrow x=4[/tex]

Answer 2

$(3^x)^2=3^8=\ \textgreater \ 3^{2x}=3^8=\ \textgreater \ 2x=8|:2=\ \textgreater \ x=4$
Fiind doua puteri cu aceeasi baza, am egalat exponentii si am rezolvat ecuatia.