If $\log \left( {2a - 3b} \right) = \log a - \log b,$ then $a = $

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

\log \left( {2a - 3b} \right) = \log a - \log b,

then

a =

View answer and explanation

Correct option: A

\frac{{3{b^2}}}{{2b - 1}}

Option A is correct because by applying the properties of logarithms and simplifying the equation, we can isolate 'a' and express it in terms of 'b'.

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