Logarithms
MHT CET / Mathematics / Algebra / 13 questions
MathematicsAlgebra13 PYQs
Practice 13 MHT CET Mathematics questions from Logarithms. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
13
PYQs on Page
Mathematics / Algebra
2021-2026
Year Range
Based on indexed question metadata
11
Last 5 Years
2022-2026
13
Last 10 Years
2017-2026
Recent Year Trend
2021
2023
2024
2025
2026Latest year
20215 max PYQs/year2026
Question Types
13PYQs
MCQ100%
Difficulty Mix
#1 Unknown13
11 in last 5 years13 in last 10 years
Logarithms Questions
Showing 13 of 13 questions on this page.
1Logarithms
If $x$, y, z are the sides of a right angled triangle, where z is the largest side, then $\dfrac{1}{\log_{x+z} y} + \dfrac{1}{\log_{z-x} y} =$
MCQ+2 / -02026
2Logarithms
The money invested in a company is compounded continuously. If $Rs\, 400$ invested today becomes ₹800 in 6 years, then at the end of 30 years, it will become (in ₹)
MCQ+2 / -02025
3Logarithms
If $p^3=q^4=r^6=t^7=s^2$, then $\log _t(p q r s)=\ldots \ldots$
MCQ+2 / -02025
4Logarithms
If $y=\log _3\left(\log _3 x\right)$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=3$ is $\ldots \ldots$
MCQ+2 / -02025
5Logarithms
If $\sqrt{\log _3 x^{16}}+9 \log _{27} \sqrt[3]{\frac{3}{x}}=5$, then $x=\ldots$.
MCQ+2 / -02025
6Logarithms
If $x+\log _{15}\left(5+3^x\right)=x \log _{15} 5+\log _{15} 24, \quad$ then $x=$ _________
MCQ+2 / -02025
7Logarithms
The approximate value of $\log _{10} 1002$ is (Given $\log _{10} \mathrm{e}=0.4343$)
MCQ+2 / -02024
8Logarithms
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
MCQ+2 / -02024
9Logarithms
The approximate value of $3^{2.001}$, if $\log 3=1.0986$ is
MCQ+2 / -02024
10Logarithms
The approximate value of \(\log _{10} 998\) is (given that \(\log _{10} \mathrm{e}=0.4343\) )
MCQ+2 / -02023
11Logarithms
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
MCQ+2 / -02023
12Logarithms
If the population grows at the rate of \(8 \%\) per year, then the time taken for the population to be doubled is
(Given \(\log 2=0.6912\))
(Given \(\log 2=0.6912\))
MCQ+2 / -02021
13Logarithms
Bismath has half life period of 5 days. A sample originally has a mass of 1000 mg, then the mass of Bismath after 30 days is
MCQ+2 / -02021
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