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inverse of e^x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…
5 wrz 2014 · The answer is #y=ln x#. We find the answer the same way we find any inverse; we swap #x# and #y# then solve. #y=e^x#. #x=e^y# swap. #ln x=ln (e^y)# take logarithm of both sides. #ln x=y#. #ln# and #e# functions cancel each other because they are inverses. Answer link.
Determine algebraically the equation of the inverse function of an exponential function. Graphically represent the inverse function, showing that its inverse is a logarithmic function.
This Precalculus video tutorial explains how to find the inverse of exponential functions.Introduction to Functions: https://www.you...
Determining the Equation of the Inverse Function. The inverse function of an exponential function [latex]f(x)=r^x[/latex], is found by switching the input [latex]x[/latex] and output [latex]y[/latex]. We start by writing [latex]y[/latex] for [latex]f(x)[/latex] then switch [latex]x[/latex] and [latex]y[/latex] to get the inverse function:
Verify if f −1(x) = ln(x) f - 1 (x) = ln (x) is the inverse of f (x) = ex f (x) = e x. Tap for more steps... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
