[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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