Question

What is the value of x after these statements if the starting value of x is 3.

(a) If x^2 = 5^x then x := 25^x. (b) If x^2 > x and x^3 < 4x^2 then x := x+ 2. (c) If 4^x < x^4 or x^5 > 5^x then x := x^2. (d) If 5^x > 2^x xor x^2 < 11 then x := x + 8. (e) If x > 7 then x := x^2.

Answer 1

[A]

`3^(2)=9`

`5^(3)=125`

`9\\eq25`

Ignore


[B]

`3^(2) = 9`

`9 \ \textgreater \ 3`
Yes


`3^(3)=27`

`4( 3^(2))=36 27 \ \textless \ 36`
Yes

Therefore

`x=3+2=5`


[C]

`4^(5)=1024 5^(4)=625 1024\ \textless \ 625`
No


`5^(5)=3125 5^(5)=3125 3125\ \textgreater \ 3125`
No

Ignore


[D]

`5^(5)=3125 2^(5)=32 3125\ \textgreater \ 32`
Yes


`5^(2)=25 25\ \textless \ 11`
No

Therefore

`x=5+8=13`


[E]

`8\ \textgreater \ 7`
Yes

Therefore

`x = 13^(2)=169`