The value of x - if log -2log 2log 4 x -15-0A- 16B- 31C- 19D- 17

The correct option is B 31log_√(2)(log_2(log_4(x 15)))=0 ⇒log_2(log_4(x 15))=1 ⇒log_4 (x 15)=2 ⇒ x 15=16 ⇒ x=31 ...

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Standard XI

Mathematics

Fundamental Laws of Logarithms

The value of ...

Question

The value of $x$ , if ${log}_{\sqrt{2}} ({log}_{2} ({log}_{4} (x - 15))) = 0$

16

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31

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19

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17

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Solution

The correct option is B $31$
${log}_{\sqrt{2}} ({log}_{2} ({log}_{4} (x - 15))) = 0 \Rightarrow {log}_{2} ({log}_{4} (x - 15)) = 1 \Rightarrow {log}_{4} (x - 15) = 2 \Rightarrow x - 15 = 16$
$\Rightarrow x = 31$

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Fundamental Laws of Logarithms

Standard XI Mathematics

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The value of x, if log√2(log2(log4(x−15)))=0

The correct option is B 31log√2(log2(log4(x−15)))=0⇒log2(log4(x−15))=1⇒log4(x−15)=2⇒x−15=16 ⇒x=31

The value of $x$ , if ${log}_{\sqrt{2}} ({log}_{2} ({log}_{4} (x - 15))) = 0$

The correct option is B $31$
${log}_{\sqrt{2}} ({log}_{2} ({log}_{4} (x - 15))) = 0 \Rightarrow {log}_{2} ({log}_{4} (x - 15)) = 1 \Rightarrow {log}_{4} (x - 15) = 2 \Rightarrow x - 15 = 16$
$\Rightarrow x = 31$