If $\log _{(2 x+3)} x^2 < \log _{(2 x+3)}(2 x+3)$ then value of $x$

JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

\log _{(2 x+3)} x^2 < \log _{(2 x+3)}(2 x+3)

then value of

x

View answer and explanation

Correct option: B

x \in\left(\frac{-3}{2},-1\right) \cup(-1,3)-\{0\}

The correct answer is B (

x \in\left(\frac{-3}{2},-1\right) \cup(-1,3)-\{0\}

) because it represents the solution set for x that satisfies the given logarithmic inequality, considering the base and argument restrictions.

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