Respuesta :

[tex]ln(e^x) \geq 1[/tex] is sometimes true, by seen by operations on logarithm.

What is Logarithm?

  • The opposite of exponentiation is the logarithm.
  • This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
  • A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Now,

  • When x < 1, the given equation is false.

For example, let x = 0.1

Then, [tex]ln(e^{(0.1)}) = 0.1 < 1[/tex]

  • But, when x > 1, the given equation is true.

For example, let x = 2

Then, [tex]ln(e^2) = 2 > 1[/tex]

Hence, [tex]ln(e^x) \geq 1[/tex] is sometimes true, by seen by operations on logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

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