1
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=\log _e\left(\frac{1-x}{1+x}\right),|x|<1$, then $f\left(\frac{2 x}{1+x^2}\right)$ is equal to

A
$2 \mathrm{f}\left(x^2\right)$
B
$-2 \mathrm{f}(x)$
C
$(\mathrm{f}(x))^2$
D
$2 \mathrm{f}(x)$
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the half life of substance is 5 years, then the total amount of the substance left after 15 years, when initial amount is 64 gms is

A
6 gm
B
8 gm
C
10 gm
D
12 gm
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\log _2 x+\log _4 x+\log _8 x+\log _{16} x=\frac{25}{36}$$ and $$x=2^{\mathrm{k}}$$ then $$\mathrm{k}$$ is

A
1
B
$$\frac{1}{2}$$
C
$$\frac{1}{3}$$
D
$$\frac{1}{8}$$
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The approximate value of $$\log _{10} 998$$ is (given that $$\log _{10} \mathrm{e}=0.4343$$ )

A
3.0008686
B
1.9991314
C
2.0008686
D
2.9991314
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