Question

afla cat este x.
a)4la puterea x . 2 la puterea 4 =16 la puterea 5
b)9 la puterea 2 x . 3 la puterea 5 =27 la puterea 3
c)125la puterea x . 25 la puterea 4 =5 la puterea 14
d) (8 la puterea x . 4 la puterea 3)la puterea 2 :16 la puterea 3= 64

Answer 1

a)4^x×2^4=(2^4)^5
(2^2)^x×2^4=2^20
2x+4=200
2x=16
x=8
b)(3^2)^2x×3^5=(3^3)^3
3^4x×3^5=3^9
4x+5=9
x=1
c )(5^3)^x×(5^2)^4=5^14
5^3x×5^8=5^14
3x+8=14
3x=6
x=200x
d)[(2^3)^x×(2^2)^3]^2÷(2^4)^3=2^6
(2^3x×2^6)^2÷2^12=2^6
(2^3x+6)^2÷2^12=2^6
2^6x+12÷2^12=2^6x
6x+12-12=6
6x=6
x=1