The correct option is A 158 The correct answer is 15 8 #160;Hence option (D) is correct ...

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Standard XII

Mathematics

Logarithmic Differentiation

Find: log√2...

Question

Find: ${log}_{\sqrt{2}} \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2}}}}$ .

\frac{15}{8}

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\frac{13}{8}

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\frac{17}{32}

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None of these

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Solution

The correct option is A $\frac{15}{8}$
The correct answer is $\frac{15}{8}$
Hence option (D) is correct

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Similar questions

15 + 5 \div 5 \times 2 = ?

(a) 8
(b) 2
(c) 17
(d) none of these

Q. The sum of the series

{log}_{4} 2 - {log}_{8} 2 + {log}_{16} 2 - {log}_{32} 2 + . . . .

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

$\frac{l o g_{8} 17}{l o g_{9} 23} - \frac{l o g_{2 \sqrt{2}} 17}{l o g_{3} 23}$ is equal to

Q. Find the value of

\frac{{log}_{8} 17}{{log}_{9} 23} - \frac{{log}_{3 \sqrt{2}} 17}{{log}_{3} 23} .

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Find: log√2√2√2√2√2.

The correct option is A 158The correct answer is 158 Hence option (D) is correct

Find: ${log}_{\sqrt{2}} \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2}}}}$ .

The correct option is A $\frac{15}{8}$
The correct answer is $\frac{15}{8}$
Hence option (D) is correct