undercoverlife6458 undercoverlife6458
  • 14-01-2020
  • Mathematics
contestada

Solving Exponential and Logarithmic Equations In Exercise, solve for x.
In x - In(x + 1) = 2

Respuesta :

aristeus aristeus
  • 15-01-2020

Answer:

Value of x will be x = - 1.156

Step-by-step explanation:

We have given function [tex]lnx-ln(x+1)=2[/tex]

Using logarithmic property

[tex]ln\frac{x}{x+1}=2[/tex]

Using the property of exponent and log can be written as

[tex]\frac{x}{x+1}=e^2[/tex]

[tex]\frac{x}{x+1}=7.389[/tex]

[tex]x=7.389x+7.389[/tex]

[tex]6.389x=-7.389[/tex]

x = -1.156

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