KCET · Maths · Basic of Mathematics
Which one of the following observations is correct for the features of logarithm function to any base \(b\gt1\) ?
- A The domain of the logarithm function is \(R\), the set of real numbers.
- B The range of the logarithm function is \(R^{+}\), the set of all positive real numbers.
- C The point \((1,0)\) is always on the graph of the logarithm function.
- D The graph of the logarithm function is decreasing as we move from left to right.
Answer & Solution
Correct Answer
(C) The point \((1,0)\) is always on the graph of the logarithm function.
Step-by-step Solution
Detailed explanation
\(\because\) Domain \(\in R^{+}\)and range \(\in R\) and graph of the logarithm function is increasing.
So, point \((1,0)\) is always on the graph of logarithm function.
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