Graphing a natural logarithmic equation using reflection

👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis.
To graph a logarithmic function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points from the function and plotting them on the x-y coordinate axis to see the nature of the parent function's graph. After graphing the parent function, we then apply the given transformations to obtain the required graph.
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Organized Videos:
✅How to Graph Logarithmic Functions
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions with Vertical Shift
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions in Different Bases
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions | Learn About
• How to Graph Logarithm...
✅How to Graph Natuarl Logarithmic Functions with Transformations
• How to Graph Natural L...
✅How to Graph Logarithmic Functions with Horizontal Shift
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions with Transformations
• How to Graph Logarithm...
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[@gazelleey]

You should repeat your students questions just in case we also have that question

[@dieterbohm9700]

isnt e^1 = -(2,71) ? , sorry , english is not my native language so i maybe missed the explanation for that.

[@brianmclogan]

e^1=2.71

[@SportsManVegetal]

e^y = -1 * (x)

[@TabinaKamal]

hi there can you help me with this qs?
It is given that y=[ln(4x^2 -1)]/(x+2)
Find the values of x for which y is not defined.
I do know that for y to be undefined, the denominator has to be 0, so x=-2.
The marking scheme says the answer is -2 and there is also a range given... [-0.5

[@brianmclogan]

a function is defined with the denominator is zero you got that, also when the argument of a logarithm is negative so set 4x^2-1

[@TabinaKamal]

so the question is more of explaining by proving both the parts?

[@TabinaKamal]

btw thanks so much :D

[@brianmclogan]

yes those are different restrictions

[@TabinaKamal]

Thank you holy math human