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Logarithms
JEE Advanced · Mathematics · 7 past questions
Topic
Change of base and simplification of log expressions
1
Equations in powers of log x (substitution)
1
Exponential equations solved by taking logarithms
1
Linear systems with logarithmic right-hand sides
1
Nested radicals and infinite expressions inside logs
1
Optimization with logarithms (AM-GM)
1
Simultaneous equations involving logarithms
1
Level
Easy
1
Moderate
5
Tough
1
Year
2024
1
2022
1
2020
1
2018
1
2013
1
2012
1
2011
1
Q1
2024 Paper 1
Let $a = 3\sqrt{2}$ and $b = \dfrac{1}{5^{1/6}\sqrt{6}}$. If $x, y \in \mathbb{R}$ are such that…
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Q2
2022 Paper 2
The product of all positive real values of $x$ satisfying the equation…
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Q3
2020 Paper 1
Let $m$ be the minimum possible value of $\log_3(3^{y_1}+3^{y_2}+3^{y_3})$, where $y_1, y_2, y_3$ are real…
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Q4
2018 Paper 1
The value of…
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Q5
2013 Paper 2
If $3^x = 4^{x-1}$, then $x =$
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Q6
2012 Paper 1
The value of…
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Q7
2011 Paper 1
Let $(x_0, y_0)$ be the solution of the following equations…
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