Question

[(3 la puterea 10 • 3 la puterea 5) la puterea 2 : 81 + 3 • (9 la puterea 3) la puterea 4] : X = 3 la puterea 25

Answer 1

$[(3^1^0 \cdot 3^5)^2:81+3 \cdot (9^3)^4]:x=3^2^5 \\ ~[(3^{10+5})^2:3^4+3 \cdot 9^1^2]:x=3^2^5 \\ ~[(3^1^5)^2:3^4+3 \cdot (3^2)^1^2]:x=3^2^5 \\ (3^3^0:3^4+3 \cdot 3^2^4):x=3^2^5 \\ (3^{30-4}+3^{1+24}):x=3^2^5 \\ (3^2^6+3^2^5):x=3^2^5 \\ 3^2^5(3+1):x=3^2^5 \\ 3^2^5 \cdot 4:x=3^2^5 \\ 4:x=3^2^5:3^2^5 \\ 4:x=1 \\ x=1 \cdot 4 \\ x=4$