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WB JEE

Logarithms

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Previous Years Questions

MCQ (Single Correct Answer)

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If x satisfies the inequality $${\log _{25}}{x^2} + {({\log _5}x)^2}
WB JEE 2022
If 2 log(x + 1) $$ - $$ log(x2 $$ - $$ 1) = log 2, then x =
WB JEE 2020
If $$\log _2^6 + {1 \over {2x}} = {\log _2}\left( {{2^{{1 \over x}}} + 8} \right)$$, then the value of x are
WB JEE 2019
If $$x + {\log _{10}}(1 + {2^x}) = x{\log _{10}}5 + {\log _{10}}6$$, then the value of x is
WB JEE 2018
If $$({\log _5}x)({\log _x}3x)({\log _{3x}}y) = {\log _x}{x^3}$$, then y equals
WB JEE 2017
The sequence log a, $$\log {{{a^2}} \over b}$$, $$\log {{{a^3}} \over {{b^2}}}$$, ...... is
WB JEE 2011
If $${\log _7}2 = \lambda $$, then the value of $${\log _{49}}(28)$$ is
WB JEE 2011
If $${\log _3}x + {\log _3}y = 2 + {\log _3}2$$ and $${\log _3}(x + y) = 2$$, then
WB JEE 2011
The sum of the series $${1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}} - \,\,.....\,\,\infty $$ is
WB JEE 2011
The value of $${{{{\log }_3}5 \times {{\log }_{25}}27 \times {{\log }_{49}}7} \over {{{\log }_{81}}3}}$$ is
WB JEE 2010
If x = logabc, y = logbca, z = logcab, then the value of $${1 \over {1 + x}} + {1 \over {1 + y}} + {1 \over {1 + z}}$$ w...
WB JEE 2009
The value of $$\left( {{1 \over {{{\log }_3}12}} + {1 \over {{{\log }_4}12}}} \right)$$ is
WB JEE 2009
If $${\log _5}\,\,{\log _5}\,\,{\log _2}x = 0$$ then value of x is
WB JEE 2008

MCQ (More than One Correct Answer)

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The equation $${x^{{{(\log 3x)}^2}}} - {9 \over 2}\log 3\,x + 5 = 3\sqrt 3 $$ has
WB JEE 2020

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