Question

1. Wiedząc, że oraz
Oblicz 3x-y

Answer 1

(√5 )^x = 5^3 * 5^(1/2)

(5^(1/2))^x = 5^(3 + 1/2)

5^(1/2x) = 5^(7/2)

1/2x = 7/2

x = 7/2 : 1/2

x = 7/2 * 2/1

x = 7

 

(√2)^y = 2^10

(2^(1/2))^y = 2^10

2^(1/2y) = 2^10

1/2y = 10

y = 10 * 2

y = 20

 

3x - y = 3 * 7 - 20 = 21 - 20 = 1  ----   odpwoeidź