If 5^(5x)*(25) = 5^n , where n and x are integers, what is the value of n in terms of x ?
(A) 5x + 1
(B) 5x + 2
(C) 5x + 5
(D) 10x
(E) 10x + 2

• First, we need to recognize that 25 is 5^2.
  
  We then can rewrite it as: 5^(5x) * 5^2 = 5^n
  
  When you multiply a number to the power of something with the same number to another power, you can combine them as the number to the power of the original powers ADDED:
  
  5^(5x+2) = 5^n
  
  Then do a logarithm on each side, and you will get 5x+2 = n.
  
  So the answer here is (B) : 5x + 2
• 7 years agoHelpfull: Yes(0) No(0)
• 5^5x * 5^2 = 5^n
  i.e 5^5x+2 = 5^n
  so, 5x+2=n
• 7 years agoHelpfull: Yes(0) No(0)