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Question

Answer

For y = log b (a) to be well-defined, the value of a must be a > 0 and b > 0, b <> 1.
y = log x+4 (3-2x) to be well-defined,
3-2x > 0
=> -2x > -3
=> 2x < 3
=> x < 1.5
x+4 > 1
=> x > -3
Hence -3 < x < 1.5