ashlucas226 ashlucas226
  • 04-06-2020
  • Mathematics
contestada

Solve the given inequality. Round to the nearest ten-thousandth, if necessary. e x > 14

Respuesta :

lublana
lublana lublana
  • 09-06-2020

Answer:

[tex]x\in(1.146,\infty)[/tex]

Step-by-step explanation:

We are given an inequality

[tex]e^x>14[/tex]

We have to solve the given inequality.

Taking both side ln of given inequality

Then, we get

[tex]ln(e^x)>ln(14)[/tex]

[tex]xlne>1.146[/tex]

We know that

lne=1

Using the value

[tex]x>1.146[/tex]

[tex]x\in(1.146,\infty)[/tex]

Hence, the value of x is given by

[tex]x\in(1.146,\infty)[/tex]

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