There are 32,760 different orders for the first four positions.
This is a permutation where repetition is not allowed; the formula for that is:

For our problem, we have:
Answer:

Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
First, add 9 to both sides
3/4x - 9 (+9) = 27 (+9)
3/4x = 36
Next, multiply 4/3 to both sides
(4/3)(3/4)x = 36(4/3)
x = 36(4/3)
Simplify.
x = 12(4)
x = 48
48 is your answer for x.
hope this helps