Question

Determinati nr necunoscut x stiind ca : a) (5^12:5^10-4^18:4^16):3x=x
b) [2^5•(2•3)^7]:3^7=2^x
c) (4•8)^15:4^5:2^6=2^x

Answer 1

Răspuns:

Explicație pas cu pas:

a) (5^12:5^10-4^18:4^16):3^2=x

(5^2 - 4^2):3^2 = x

(25 - 16):3^2 = x

9:9 = x

1 = x

sigur ai scris bine?

b) [2^5•(2•3)^7]:3^7=2^x

(2^5*2^7*3^7):3^7 = 2^x

2^12 = 2^x

x = 12

c) (4•8)^15:4^5:2^6=2^x

4^15 * 8^15 : 2^10 : 2^6  = 2^x

2^30 * 2^45 : 2^10 : 2^6 = 2^x

2^75 : 2^10 : 2^6 = 2^x

2^65 : 2^6 = 2^x

2^59 = 2^x

x = 59