Asked by Carmen
                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.
            
        Could someone please explain to me what occurs when things are halved.
Answers
                    Answered by
            drwls
            
    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.
    
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.
                    Answered by
            jazz
            
    Can you all be a tutor for me? I'm a quick learner!
    
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