jseely4937 jseely4937
  • 14-01-2020
  • Mathematics
contestada

Solving Exponential and Logarithmic Equations In Exercise, solve for x.
In x + In(x - 3) = 0

Respuesta :

aristeus aristeus
  • 15-01-2020

Answer:

x will be equal to x = 0.3027 and x = -3.3025

Step-by-step explanation:

We have given function [tex]lnx+ln(x-3)=0[/tex]

Now according to property of logarithmic

[tex]ln(x\times (x-3))=0[/tex]

[tex]ln(x^2-3x)=0[/tex]

Now according to logarithmic and exponent property  

[tex](x^2-3x)=e^0=1[/tex]

[tex]x^2-3x-1=0[/tex]

[tex]x=\frac{-3\pm \sqrt{3^2-4\times 1\times -1}}{2\times 1}=\frac{-3\pm 3.605}{2}=0.3027,-3.3025[/tex]

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