NekoKyoto3467 NekoKyoto3467
  • 14-01-2020
  • Mathematics
contestada

Solving Exponential and Logarithmic Equations In Exercise, solve for x.
In x = 3

Respuesta :

joaobezerra joaobezerra
  • 15-01-2020

Answer:

The solution is:

[tex]x = e^{3} = 20.09[/tex]

Step-by-step explanation:

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

[tex]\ln{x} = 3[/tex]

It already is in the desired format.

Now, we have that, since e and ln are inverse operations

[tex]e^{\ln{a}} = a[/tex]

So, we apply the exponential to both sides of the equality

[tex]e^{\ln{x}} = e^{3}[/tex]

[tex]x = e^{3} = 20.09[/tex]

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