Question

Dau 20 puncte. Afla cat este x : a) 4^x×2^4=16^5 b) 9^2x×3^5=27^3 c) 125^x×25^4=5^14

Answer 1

Dacă-mi dai coroana:

4^x×2^4=16^5
(2^2)^x×2^4=(2^4)^5
2^(2×x)×2^4=2^20=>
x=(20-4):2=
x=16:2=8

9^2x×3^5=27^3
(3^2)^2x×3^5=(3^3)^3
3^(2×2x)×3^5=3^9
x=(9-5):2:2
x=4:2:2
x=1
125^x×25^4=5^14
(5^3)^x×(5^2)^4=5^14
5^(3×x)×5^8=5^14
×=(14-8):3
×=6:3
×=2