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March 24, 2017

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For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. Include a table of values for all four functions.
Could someone please explain to me what occurs when things are halved.

  • College Algebra - ,

    e^x becomes e^(x/2) is x is halved

    ln x becomes ln(x/2) is x is halved.

    Start out with x = 4 and compare what you get with x = 2 and x = 1.
    ln4 = 1.386
    ln2 = 0.693
    ln1 = 0
    Each time x doubles, ln x increases by 0.693
    e^4 = 54.60
    e^2 = 7.389
    e^1 = e = 2.718
    Each time x doubles, e^x gets squared.

  • College Algebra - ,

    Can you all be a tutor for me? I'm a quick learner!

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