Question

Urgent!Va rog!daca 2 la puterea 29 x 5 la puterea 29=x la 29 atunci numarul natural x este egal cu..........?

daca 7 la x plus 7 la x plus 1 =2 la puterea 3 x 7 la puterea 2016 atunci numarul natural x este egal cu: A.2016+6 B.2016 -3 C.2016 D.2016:3


daca 3 la puterea 65 : 3 la x=3 la puterea 21 atunci: A. x ≥ 65 B. x=65 C x≤ 65 si x ≠ 44 D.x =44

Answer 1

2^29 × 5^29 = x^29

( 2 × 5)^29 = x^29

10^29 = x^29

x = 10
_____



7^x + 7^x+1 = 2^3 × 7^2016

7^x + 7^x × 7 = 8 × 7^2016

7^x × ( 1 + 7) = 8 × 7^2016

7^x × 8 = 8 × 7^2016 | : 8

7^x = 7^2016

x = 2016
_________


3^65 : 3^x = 3^21

3^(65 - x) = 3^21

65 - x = 21

x = 65 - 21

x = 44
_____

Answer 2

x²⁹ = 2²⁹ x 5²⁹ = ( 2 x 5 )²⁹ = 10²⁹ ==>  x = 10

7ˣ + 7ˣ⁺¹ =2³ x 7²⁰¹⁶

7ˣ ( 1 + 7 ) = 8 x 7²⁰¹⁶

7ˣ x 8 = 8 x 7²⁰¹⁶ l  : 8

7ˣ = 7²⁰¹⁶ ==>   x = 2016

Raspuns:   C) 2016

3⁶⁵ : 3ˣ = 3²¹ ==>  65 - x = 21 == > x = 65 - 21 ==> x = 44

Raspuns:   D) x = 44