ln (t) = [tex]log_e(t)[/tex] is always true, by the definition of 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,
- According to the definition of logarithm, we can see that it is the normal logarithm or log function with the value of base being 'e', i.e., [tex]log_e(t)[/tex].
- The representation of natural logarithm is ln (t).
Hence, ln (t) = [tex]log_e(t)[/tex] is always true, by the definition of logarithm.
To learn more about logarithms, refer to the link: https://brainly.com/question/25710806
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