domain : a RealRange expression specifying the region over which the function is defined

variable: name used in generated expression when second calling sequence is used

The LogarithmicFunction constructor generates and returns an object representing a logarithmic function. The function is assumed to have the form a*ln(b*x+c)+d, where a, b, c, and d are constants. Logarithms in different bases using the log[b] notation are supported.

The first calling sequence requires a logarithmic function in one variable to be provided.

The second calling sequence requires the value for the vertical asymptote and two points on the curve to be provided.

$\mathrm{with}\left(\mathrm{Grading}\right)$

$\left[\mathrm{AbsoluteValueFunction}\,\mathrm{DiffFeedback}\,\mathrm{DiffPractice}\,\mathrm{Draw}\,\mathrm{ExponentialFunction}\,\mathrm{FactorFeedback}\,\mathrm{FactorPractice}\,\mathrm{Feedback}\,\mathrm{GetData}\,\mathrm{GetDomain}\,\mathrm{GetExpression}\,\mathrm{GradePlot}\,\mathrm{GridPoint}\,\mathrm{Inequalities}\,\mathrm{IntFeedback}\,\mathrm{IntPractice}\,\mathrm{IsQuadraticFormula}\,\mathrm{LimitFeedback}\,\mathrm{LimitPractice}\,\mathrm{LinearFunction}\,\mathrm{LogarithmicFunction}\,\mathrm{QuadraticFunction}\,\mathrm{Quiz}\,\mathrm{QuizBuilder}\,\mathrm{Segment}\,\mathrm{SimplifyFeedback}\,\mathrm{SimplifyPractice}\,\mathrm{SolveFeedback}\,\mathrm{SolvePractice}\right]$

$\mathrm{LogarithmicFunction}\left(5\log \left[10\right]\left(2x-4\right)+5\right)$

$\mathrm{<<\; LogarithmicFunction:\; 5*ln(2*x-4)/ln(10)+5>>}$

$\mathrm{LogarithmicFunction}\left(2\&comma;\left[3\&comma;6.5\right]\&comma;\left[4\&comma;8\right]\right)$

$\mathrm{<<\; LogarithmicFunction:\; 1.5/ln(2)*ln(v-2)+6.5>>}$

$\mathrm{L1}≔\mathrm{LogarithmicFunction}\left(3\&comma;\left[4\&comma;0\right]\&comma;\left[6\&comma;\ln \left(3\right)\right]\&comma;'\mathrm{variable}'='z'\right)$

$\mathrm{L1}≔\mathrm{<<\; LogarithmicFunction:\; ln(z-3)>>}$

$\mathrm{GetExpression}\left(\mathrm{L1}\right)$

$\ln \left(z-3\right),z$

The Grading:-LogarithmicFunction command was introduced in Maple 18.

For more information on Maple 18 changes, see Updates in Maple 18.