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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
MCQ
If $\log _{10}\left(\log _{10}\left(\log _{10} x\right)\right)=0$, then $x=$
  • A
    $1000$
  • ✓
    $10^{10}$
  • C
    $10$
  • D
    $0$
✓

Answer

Correct option: B.
$10^{10}$
(B) $10^{10}$
Hint:
$\log _{10} \log _{10} \log _{10} x=0 $
$\therefore \log _{10}\left(\log _{10}(x)\right)=10^0=1$
$\therefore \log _{10} x=10^1=10$
$\therefore x=10^{10}$

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