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If 3^(x-y) = 27 and 3^(x+y) = 243, then x is equal to = ?

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Answer:- 4

Explanation:-

Solution:

$\eqalign{ & {{\text{3}}^{x - y}} = 27 = {3^3} \cr & \Leftrightarrow x - y = 3........(i) \cr & {3^{x + y}} = 243 = {3^5} \cr & \Leftrightarrow x + y = 5........(ii) \cr & {\text{On solving (i) and (ii) ,}} \cr & {\text{we get }}x = 4 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

$\eqalign{ & {{\text{3}}^{x - y}} = 27 = {3^3} \cr & \Leftrightarrow x - y = 3........(i) \cr & {3^{x + y}} = 243 = {3^5} \cr & \Leftrightarrow x + y = 5........(ii) \cr & {\text{On solving (i) and (ii) ,}} \cr & {\text{we get }}x = 4 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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