The set of real values of for which _ 2x+3 x^2 < _ 2x+3 (2x+3) is _.

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The set of real values of

x

for which

\log_{2x+3} x^2 < \log_{2x+3} (2x+3)

is _____. (a)

\left[-\frac{3}{2}, -1\right]

(b)

[-1, 3]

(c)

\left(-\frac{3}{2}, -1\right)

(d) none of these