Math, asked by rajnikamal1111, 6 months ago

Please solve this question

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Answered by alwayshelping

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Answered by Anonymous

$\frac{ {6}^{2x + 1} }{36} = 216$

36 = 6²

216 = 6³

so,

$\frac{ {6}^{2x + 1} }{ {6}^{2} } = {6}^{3}$

As per laws of indices, ------->

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{(m - n)}$

So if we forget the bases for sometime (as they are same). And solve the equation formed by all the indices, then -------->

$2x + 1 - 2 = 3$

$= 2x - 1 = 3$

$2x = 3 + 1$

$2x = 4$

$x = \frac{4}{2}$

$x = 2$

So, the value of $\huge\red{x}$ is $\huge\blue{2}$

$\huge\green{\underline{\underline{\rm{Note -}}}}$

Above I said that we can forget the bases. It can be done only if all the bases are equal.

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ANSWER BY MANAS817

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