Respuesta :
[tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties 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.
Given: [tex]\frac{ln(e^2)}{2}[/tex]
Now,
- By property of logarithm, [tex]log_b(a)^m=m(log_b(a))[/tex],
=> [tex]\frac{ln(e^2)}{2}[/tex] = [tex]\frac{2 (ln(e))}{2}[/tex]
=> [tex]\frac{ln(e^2)}{2}[/tex] = ln (e)
- AS we know that ln (e) = 1 (by properties of logarithm),
=> [tex]\frac{ln(e^2)}{2}[/tex] = 1
Hence, [tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties of logarithm.
To learn more about logarithms, refer to the link: brainly.com/question/25710806
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