# 5^x-2=625 what's the answer for this equation

## Answers

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**Answer:**

The answer is 6

**Step-by-step explanation:**

5^x-2 = 625

Prime factorization of 625 = 5^4

5^x-2 = 5^4

Since bases are same, by equating the exponents....

x-2 = 4

x = 4 + 2

x = __6__

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