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.

Just work them. For example

(a) is 3^2 = 5^3? No

Some of the conditions will match, and then you can do the assignment.

The last assignment done will be the new value for x.

Thanks. so what would an example solution for a?

Hmmm. The statements are an exercise to see whether you can correctly evaluate and compare the expressions. Note that once a true condition has been found, the value of x changes, and the following statement works with a new value.

There is no positive number such that x^2 = 5^x. The only solution is approximately -0.611

By the time you have worked through each statement, your final value for x will tell whether you have found all the true conditions.

does this look good to you?

(a). x = 3
(b). x := 3 + 2 = 5
(c). x := 32 = 9
(d). x := 3 + 8 = 11
(e). x = 3

To determine the value of x after each statement, let's go through each statement step by step.

(a) If x^2 = 5^x, then x := 25^x:
To solve this equation, we need to find the value of x for which x^2 is equal to 5^x. Unfortunately, there is no simple algebraic solution for this equation. We would need to use numerical methods or a graphing calculator to find the approximate value of x.
However, if we assume that x is equal to 3 as given, then the statement x := 25^x means that x is reassigned the value of 25 raised to the power of x, which is 25^3 = 15625.

(b) If x^2 > x and x^3 < 4x^2, then x := x + 2:
For this statement, we need to check if both conditions x^2 > x and x^3 < 4x^2 are true. If they are, then x is reassigned the value of x + 2.
Starting with x = 3, we find that 3^2 = 9 > 3, and 3^3 = 27 < 4 * 3^2 = 36. Therefore, both conditions are true, and x is reassigned the value of 3 + 2 = 5.

(c) If 4^x < x^4 or x^5 > 5^x, then x := x^2:
Similarly, we need to check if at least one of the conditions 4^x < x^4 or x^5 > 5^x is true. If so, then x is reassigned the value of x^2.
Again, starting with x = 3, we find that 4^3 = 64 < 3^4 = 81, and 3^5 = 243 > 5^3 = 125. Therefore, at least one condition is true, and x is reassigned the value of 3^2 = 9.

(d) If 5^x > 2^x xor x^2 < 11, then x := x + 8:
To evaluate this statement, we need to determine if the expression 5^x > 2^x xor x^2 < 11 is true. If it is, then x is reassigned the value of x + 8.
Starting with x = 3, we find that 5^3 = 125 > 2^3 = 8, and 3^2 = 9 < 11. Both conditions are true, and since "xor" means exactly one condition is true, x is reassigned the value of 3 + 8 = 11.

(e) If x > 7, then x := x^2:
Here, we simply check if x is greater than 7. If it is, then x is reassigned the value of x^2.
Starting with x = 3, which is less than 7, this condition is not met, so x remains unchanged as 3.

To summarize:
(a) x = 15625
(b) x = 5
(c) x = 9
(d) x = 11
(e) x = 3