Question

Find the value of 'N'

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Answer 1

Answer:

answer is 2

as 6^2×2+1 ÷36 = 216

Answer 2

ANSWER :-

${6}^{2n + 1} \div 36 = {6}^{3} \\ ⇒ {6}^{2n + 1} \div {6}^{2} = {6}^{3} \\ ⇒ \: {6}^{2n + 1} \times {6}^{ - 2} = {6}^{3} \\ ⇒{6}^{2n + 1 - 2} = {6}^{3}$

By equating powers

⇒2n − 1 = 3

⇒2n = 3 + 1 = 4

$\rightarrow \: n \: = \frac{4}{2} = 2 \:$

∴ The value of n is 2.