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I always face problem in solving such questions. Can you please explain the approach to solve such questions.And please give full explanation for this question(https://i.stack.imgur.com/kJ1hY.jpg)

  • The first thing that stands out to me is that they never said anything about finding the solution. Have you heard about the intermediate value theorem? – Arthur May 20 '17 at 06:11

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Hint: Consider the following identity:

$$ A^{\log_B C} = C^{\log_B A} $$

To see why this identity is true, take the $\log_B$ of both sides and apply power rule. Now apply the identity to your problem with $A = x$ and $C = 2$ so that you can collect like terms.

Adriano
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