Logarithmic functions- general properties, Mathematics

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Logarithmic functions have the following general properties

If y = loga x, a > 0 and a ≠1, then

  1. The domain of the function is the set of all positive real numbers and the range is the set of all real numbers.

  2. For base a > 1, the function is increasing and concave and for 0 < a < 1, the function is decreasing and convex.

  3. For all bases, y = 0, if x = 1

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