25 power n+3× 625 = 125 power n+3 – InterviewSolution

1.

25 power n+3× 625 = 125 power n+3

Answer» ONG>ANSWER:

SOLUTION:

Step-by-step EXPLANATION:

$\huge\mathfrak\purple{Ello!}$

$\sf\longrightarrow\{25^{n+3}x625=125^{n+3}$

$\sf\longrightarrow\{5^{2n+6}x5^{4}=5^{3n+9}$

$\sf\longrightarrow\ 4(2n+6)=3n+9$

$\sf\longrightarrow\ 8n+24-3n-9=0$

$\sf\longrightarrow\ 5n-15=0$

$\sf\longrightarrow\ n=3$

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