Exponential and Logarithmic Functions
==========================================

.. funcsketch:function:: exp(x)

    Exponential function.

    :param x: The exponent to which :math:`e` is raised.
    :type x: Real
    :definition: :math:`\exp(x) = e^x`
    :domain: :math:`(-\infty, \infty)`
    :range: :math:`(0, \infty)`
    :returns: The value of :math:`e^x`.
    :rtype: Real

.. funcsketch:function:: exp2(x)

    Base-2 exponential function.

    :param x: The exponent to which :math:`2` is raised.
    :type x: Real
    :definition: :math:`\mathrm{exp2}(x) = 2^x`
    :domain: :math:`(-\infty, \infty)`
    :range: :math:`(0, \infty)`
    :returns: The value of :math:`2^x`.
    :rtype: Real

.. funcsketch:function:: expm1(x)

    Exponential-minus-one function.

    :param x: The exponent to which :math:`e` is raised.
    :type x: Real
    :definition: :math:`\mathrm{expm1}(x) = e^x - 1`
    :domain: :math:`(-\infty, \infty)`
    :range: :math:`(-1, \infty)`
    :returns: The value of :math:`e^x - 1`.
    :rtype: Real

.. funcsketch:function:: log(x)

    Natural logarithm function.

    :param x: The value to take the natural logarithm of.
    :type x: Real
    :definition: :math:`\log(x) = \log_e(x)`
    :domain: :math:`(0, \infty)`
    :range: :math:`(-\infty, \infty)`
    :returns: The value of :math:`\log(x)`.
    :rtype: Real

.. funcsketch:function:: log1p(x)

    Natural logarithm of one plus the argument.

    :param x: The value to add :math:`1` to before taking the natural logarithm.
    :type x: Real
    :definition: :math:`\mathrm{log1p}(x) = \log(1 + x)`
    :domain: :math:`(-1, \infty)`
    :range: :math:`(-\infty, \infty)`
    :returns: The value of :math:`\log(1 + x)`.
    :rtype: Real

.. funcsketch:function:: log10(x)

    Base-10 logarithm function.

    :param x: The value to take the base-10 logarithm of.
    :type x: Real
    :definition: :math:`\mathrm{log10}(x) = \log_{10}(x)`
    :domain: :math:`(0, \infty)`
    :range: :math:`(-\infty, \infty)`
    :returns: The value of :math:`\log_{10}(x)`.
    :rtype: Real

.. funcsketch:function:: log2(x)

    Base-2 logarithm function.

    :param x: The value to take the base-2 logarithm of.
    :type x: Real
    :definition: :math:`\mathrm{log2}(x) = \log_{2}(x)`
    :domain: :math:`(0, \infty)`
    :range: :math:`(-\infty, \infty)`
    :returns: The value of :math:`\log_{2}(x)`.
    :rtype: Real