Question

please answer this question
I'm very thankful to you​

Answer 1

Step-by-step explanation:

this is your answer happy mahashivaratri

Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{SOLUTION:-}}}}}}$.

$\large{\underline{\underline{\mathfrak{\sf{Given\:Here:-}}}}}$.

• $\:2^{n-7}\:×\:5^{n-4}\:=\:1250$

$\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}$.

• Value of n

$\large{\underline{\underline{\mathfrak{\sf{Explanation:-}}}}}$.

$\:2^{n-7}\:×\:5^{n-4}\:=\:1250$

$\:2^{n-4}\:×\:2^{-3}\:×\:5^{n-4}\:=\:(2×5^4)$

$\:(2×5)^{n-4}\:=\:(2^4 × 5^4)$

$\:(2×5)^{n-4}\:=\:(2×5)^4$

Compare both side .

$\:(n-4)\:=\:4$

$\implies\:n\:=\:4+4$

$\implies\boxed{\:n\:=\:8}$

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