5^4/25 = 52
The quotient law states that x^m divided by x^n = x^m-n, so I think ;
We first change 25 to 5^ 2
Therefore,
5^4/5^2 = 52
5^4-2 =52
5^2 = 52
Then we change the sum to logarithmic form, which is b^x=y is the same as log (base) b (y)= x
So,
Log (base) 5 (52)= 2
Use the calculator to find the value of the log on your left and the answer is:
2.45504.... = 2
Therefore 2 (to the nearest whole number) = 2