1. The problem is to graph the logarithmic function $y = \log(x)$.\n\n2. The logarithmic function $y = \log(x)$ is the inverse of the exponential function $y = 10^x$ when the base is 10. It is defined only for $x > 0$.\n\n3. Important properties:\n- The domain is $x > 0$.\n- The range is all real numbers $(-\infty, \infty)$.\n- The graph passes through the point $(1,0)$ because $\log(1) = 0$.\n- The graph has a vertical asymptote at $x = 0$.\n\n4. To plot the graph, calculate some points:\n- $\log(0.1) = -1$\n- $\log(1) = 0$\n- $\log(10) = 1$\n\n5. The graph increases slowly for large $x$ and decreases steeply as $x$ approaches 0 from the right.\n\nFinal answer: The graph of $y = \log(x)$ is a curve passing through $(1,0)$, increasing slowly for $x > 1$, and approaching the vertical asymptote $x=0$ from the right.
Logarithm Graph Bc37E9
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