How do you graph #y=e^(ln x)#? - Socratic
May 9, 2018 · y=e^(ln(x)) The natural logarithm function, if considered as a real-valued function of a real variable, is the inverse function of the exponential function, leading to the identities: e^{\\ln x}=x\\qquad \\text{if } x>0 \\qquad e^{\\ln x}=x\\qquad \\text{if }x>0 \\ln(e^{x})=x Like all logarithms, the natural logarithm maps multiplication into addition: \\ln(xy)=\\ln x+\\ln y from natural ...
What is the domain and range of #y=ln(x)#? - Socratic
Feb 8, 2016 · Domain: x>0 Range: -oo<x<oo The graph of y=ln x x can only be all positive and y can take positive or negative values graph{y=ln x[-10, 10, -5,5]} Have a nice day from the Philippines!
What is the limit as x approaches infinity of #ln(x)#? - Socratic
Mar 24, 2015 · Since (as others have shown), #f(x) = lnx# is strictly increasing on #(0, oo)#, #lnx > M# if and only if #x > e^M#. Since the numbers themselves increase without bound, we have shown that by making x large enough, we may make #f(x) = lnx# as large as desired. Thus, the limit is infinite as x goes to #oo#.
How do you graph ln(abs(x))? + Example - Socratic
Jan 24, 2016 · The typical graph of just ln(x) is graph{ln(x) [-10, 10, -5, 5]} Notice the domain restriction. In ln(x), x>0. That is, negative numbers are not in the domain of a logarithmic function. However, in ln(abs(x)), negative numbers are made positive. For example, both e^2 and -e^2, when plugged into ln(abs(x)), result in ln(e^2)=2. In effect, adding the absolute value makes …
How do you graph #y=ln(x+1)#? - Socratic
Jan 19, 2017 · Shift the graph of ln(x) to the left by 1 graph{ln(x+1) [-5, 5, -5, 5]} Remember that since ln(x) and e^x are inverse functions ln(e^x)=x. Because if y=ln(x) then y=0 if and only if ln(x)=0. Since e^0=1 then ln(e^0)=ln(1)=0. So when we change the function to y=ln(x+1), we have that y=0=ln(1)=ln(0+1) So the x-intercept shifts to the left. Just like the x-intercept shift, the …
How do you graph #y=ln(x^2 +1)#? - Socratic
May 3, 2017 · See graph and analysis below. y=ln(x^2+1) Since x^2 +1 >= 1 forall x in RR ->y is defined forall x in RR ...
How do you graph y=xlnx? - Socratic
Dec 14, 2016 · See tally-mark like graph and explanation. x>0 to make ln x real. The x-intercept ( y = 0 ) is 1. At x= o, y takes the indeterminate form 0 X (-oo) Yet, the limit is 0. since x approaches 0 at a faster rate than ln x approaches 0, as x to 0_+.
How do you graph #y = ln(x) - Socratic
Mar 2, 2016 · In general, any graph is constructed by plotting the points corresponding to the equation solution on a paper. Use the x-axis for the x value, and the y-axis for the calculated y value. Explanation:
How would you graph f(x)= 2 ln x? - Socratic
Jan 21, 2016 · The top row would have the values of x The next row down would have the values of ln(x) and the row below that would have the values of 2xxln(x) This last row gives the values for y You would then mark a series of points that maches both your value of x and the calculated value of y Your graph should look something like this:
How would you graph #y= | ln(x) - Socratic
Feb 18, 2016 · Assuming that you are familiar with the graph of y=ln(x): graph{lnx [-1.715, 18.285, -5.04, 4.96]} Reflect the portion of the curve that lies below the x-axis above the x-axis. graph{abs(ln(x)) [-0.92, 19.08, -3.28, 6.72]}