How do you graph ln(x)?

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How do you graph ln(x)?

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Answer 1 · 2018-06-28T21:29:59

Reflect the graph of $e^{x}$ $e^x$ in the line $y = x$ $y=x$ ...

Explanation:

First think about how you can graph $e^{x}$ $e^x$

Note that $e \approx 2.71828182844$ $e ~~ 2.71828182844$ , so $e^{x}$ $e^x$ is a smooth exponential curve passing through:

$(0, 1)$ $(0, 1)$

$(1, e) \approx (1, 2.718)$ $(1, e) ~~ (1, 2.718)$

$(2, e^{2}) \approx (2, 7.389)$ $(2, e^2) ~~ (2, 7.389)$

$(3, e^{3}) \approx (3, 20.0855)$ $(3, e^3) ~~ (3, 20.0855)$

...

$(- 1, e^{- 1}) \approx (- 1, 0.3679)$ $(-1, e^(-1)) ~~ (-1, 0.3679)$

$(- 2, e^{- 2}) \approx (- 2, 0.1353)$ $(-2, e^(-2)) ~~ (-2, 0.1353)$

$(- 3, e^{- 3}) \approx (- 3, 0.0498)$ $(-3, e^(-3)) ~~ (-3, 0.0498)$

...

So it looks like this:
graph{e^x [-11.04, 8.96, -1.28, 8.72]}

To get the graph of its inverse $ln (x)$ $ln(x)$ , we can reflect this graph in the diagonal line $y = x$ $y=x$ to get:
graph{ln x [-5.04, 14.96, -6.96, 3.04]}

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How do you graph ln(x)?

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