Can someone explain to me how log(x)/0.25 = 4*log(x) or like log(x)/0.5 = 2*log(x)

and can someone also explain how if thats true why isnt
log(x)/4 = 1/4*log(x) or like log(x)/2 = 1/2*log(x)

Determine if the sequence is arithmetic or geometric.  then identify the next term in the sequence.    0.2, 1, 5, 25, . . group of answer choices arithmetic; 75 geometric; 75 arithmetic; 125 geometric; 125