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NOTE: When using the properties of logarithms to rewrite logarithmic functions, check that the domain of the rewritten function is the same as the domain of ...
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DEFINITION OF THE NATURAL LOGARITHMIC FUNCTION Properties of the Natural Log Function
NOTE: When using the properties of logarithms to rewrite logarithmic functions, check that the domain of the rewritten function is the same as the domain of the original. Consider and
while the domain of (^) is all positive real numbers.
EX #1: Sketch the graph of the function and state its domain.
EX #2: Find the slope of the tangent line to the graph of the logarithmic function at the point (1,0). Given:
EX #4: Find an equation of the tangent line to the graph of at the point (1, 2). 3 2 1 0 1 2 3 4 5 6 2 1 1 2 3 4 5 6 7 x y
EX #7: Find dy/dx using logarithmic differentiation