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5²ⁿ+ 5³= 5¹¹

Find n.

can you do this for me.....???

$5^{2 n} \div 5^{3} = 5^{11} \Rightarrow 5^{2 n} = 5^{11} \times 5^{3} \Rightarrow 5^{2 n} = 5^{11 + 3} (a^{m} a^{n} = a^{m + n}) \Rightarrow 5^{2 n} = 5^{14} S i n c e b a s e 5 i s e q u a l o n b o t h s i d e s, s o, e q u a t i n g \exp o n e n t o n b o t h s i d e s, w e h a v e, 2 n = 14 \Rightarrow n = \frac{14}{2} = 7 H e n c e, n = 7$

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