Solve $25^{x+1} = 5^{x+5}$.

Solve $25^{x+1} = 5^{x+5}$.
  1. $1$
  2. $2$
  3. $3$
  4. $4$

Solution

Base 5: $(5^{2})^{x+1} = 5^{x+5} \Rightarrow 2x + 2 = x + 5 \Rightarrow x = 3$.

Asked in: IMO

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