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# Four real roots (Tomato subjective 67)

problem: Describe the set of all real numbers x which satisfy 2 $${\log_{{2x+3}^x}}$$ <1.

solution: 2 $${\log_{{2x+3}^x}}$$ < 1

Now x< 0 is not in the domain of logarithm.

So x> 0.

Now as x>0           2x+3 > 1.