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<html><body><h2 id="content-id-9306874215-2"><b>Logarithm Questions Overview</b></h2><p>Logarithm Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Logarithm Questions.</p><h2 id="content-id-4207319586-3"><b>Question On Logarithm </b></h2>If x - (rac{1}{x}=2sqrt{2}), then what will be the value of x3 - (rac{1}{x^3})?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 31 Seconds </h3></div></div><h2 id="content-id-4307965182-4"><b> Logarithm Questions Options</b></h2><ol><li><p>10<span class="math-tex">\(\sqrt{2}\)</span></p>
</li><li><p>20<span class="math-tex">\(\sqrt{2}\)</span></p>
</li><li><p>12<span class="math-tex">\(\sqrt{2}\)</span></p>
</li><li><p>22<span class="math-tex">\(\sqrt{2}\)</span></p>
</li></ol> <h2 id="content-id-6874321509-5"><b> Logarithm Questions Solution</b></h2><p>The correct answer is <strong>option 4</strong> i.e. 22<span class="math-tex">\(\sqrt{2}\)</span></p>

<p><strong>Given:</strong></p>

<p> x - <span class="math-tex">\(\frac{1}{x}=2\sqrt{2}\)</span></p>

<p><strong>Formula USed:</strong></p>

<p>(a - b)<sup>3</sup> = a<sup>3</sup> - b<sup>3</sup> - 3ab(a - b)</p>

<p><strong>Explanation:</strong></p>

<p>According to the given question,</p>

<p> x - <span class="math-tex">\(\frac{1}{x}=2\sqrt{2}\)</span></p>

<p>Taking cube on both sides, we get</p>

<p>( x - <span class="math-tex">\(\frac{1}{x})^3=(2\sqrt{2}\)</span>)<sup>3</sup></p>

<p>⇒ x<sup>3</sup> - <span class="math-tex">\(\frac{1}{x^3}\)</span> - 3(1)(2<span class="math-tex">\(\sqrt{2}\)</span>) = 16<span class="math-tex">\(\sqrt{2}\)</span></p>

<p>⇒ x<sup>3</sup> - <span class="math-tex">\(\frac{1}{x^3}\)</span> - 6<span class="math-tex">\(\sqrt{2}\)</span> = 16<span class="math-tex">\(\sqrt{2}\)</span></p>

<p> ⇒ x<sup>3</sup> - <span class="math-tex">\(\frac{1}{x^3}\)</span> = 22<span class="math-tex">\(\sqrt{2}\)</span></p>

<p>Hence the required answer is 22<span class="math-tex">\(\sqrt{2}\)</span>.</p>
<h2 id="content-id-6389527014-6"><b> Logarithm Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Logarithm_Questions_Tips_and_Tricks.png" alt="Logarithm Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Logarithm Questions without taking any help from the solutions.</li><li>Logarithm Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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The correct answer is option 4 i.e. 22 - Logarithm Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

If x - rac 1 x 2sqrt - Logarithm Questions for Ssc Chsl

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