Andychulo7045 Andychulo7045
  • 14-01-2020
  • Mathematics
contestada

Solving Equations In Exercise,solve the equation for
ex = 1

Respuesta :

joaobezerra joaobezerra
  • 15-01-2020

Answer:

The solution for x is [tex]x = 0[/tex]

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

[tex]e^{x} = 1[/tex]

The first part is already how we want, so ok.

Now, we need to know that the ln and the exponential are inverse functions. This means that, for example, [tex]\ln{e^{x}} = x[/tex].

So, applying ln to both sides

[tex]\ln{e^{x}} = \ln{1}[/tex]

[tex]x = 0[/tex]

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