math question. Please help ASAP

The first, in exponential form is

9^(1/2)  = x - 2    and 9^(1/2)  = 3

So

3 = x -2   add two to both sides

5 = x

So

log₆₂₅ (5)   says that

625^x = 5¹

And 625  = 5⁴

So

5^4x = 5¹   and equating exponents we have

4x = 1    divide both sides by 4

x = 1/4

So

Log₆₂₅ (5) = 1/4

X-2=9^(1/2)

X-2=3

X=5