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1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=\log _3\left(\log _3 x\right)$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=3$ is $\ldots \ldots$

A
$\frac{1}{3}(\log 3)^{-3}$
B
$\frac{1}{3}(\log 3)$
C
$\frac{1}{3} \frac{1}{(\log 3)^{-3}}$
D
$\quad \frac{1}{3}(\log 3)^{-2}$
2
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\sqrt{\log _3 x^{16}}+9 \log _{27} \sqrt[3]{\frac{3}{x}}=5$, then $x=\ldots$.
A
81
B
$\frac{1}{405}$
C
27
D
405
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $x+\log _{15}\left(5+3^x\right)=x \log _{15} 5+\log _{15} 24, \quad$ then $x=$ _________
A
1
B
5
C
2
D
8
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $3^{2.001}$, if $\log 3=1.0986$ is

A
9.00898
B
9.0989
C
9.0898
D
9.00989
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