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    Logarithmic/asymptote

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    In exercise 53-56, begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range.

    56. h(x) = 2 + log2 x

    The figure show the graph of f(x) = log x. In exercises 59-64, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range.

    60. g(x) = log(x-2)

    64. g(x) = 2 - logx

    The figure shows the graph of f(x) = ln x. In exercises 65-74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range.

    68. h(x) = ln(1/2x)

    72. h(x) = ln(-x)

    In exercises 75-80, find the domain of each logarithmic function.

    76. f(x) = log5(x+6)

    80. f(x) = ln(x-7)^2

    In exercises 81-100, evaluate or simplify each expression without using a calculator.

    84. log 10^8

    88. ln e

    92. ln 1/e^7

    96. ln e^13x

    100. 10^log3sqrt x

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    In exercise 53-56, begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range.

    56. h(x) = 2 + log2 x

    Answer: The graph is attached. The vertical asymtote is x = 0. The domain is (0, oo) and the range is (-oo, oo).

    The figure show the graph of f(x) = log x. In exercises 59-64, use transformations of this graph to graph ...

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    This post encompasses Logarithmic/asymptote.

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