Understanding the Property of Logarithms | lnₑ(eᵃ) explained in simple terms

lnₑ(eᵃ)

To find lnₑ(eᵃ), we can use the properties of logarithms

To find lnₑ(eᵃ), we can use the properties of logarithms.

The natural logarithm, ln(x), is the inverse of the exponential function with base e. That means if we take the natural logarithm of e to any power, we should get back the value of that power.

In this case, lnₑ(eᵃ), we are taking the natural logarithm of e raised to the power of a. According to the property mentioned above, the result should be equal to a.

Therefore, lnₑ(eᵃ) = a.

In simpler terms, lnₑ(eᵃ) simplifies to just a.

More Answers:
The Natural Logarithm of e | Explained and Simplified
Calculating the Natural Logarithm of 1 | ln(1) = 0 Explanation and Formula
Simplifying ln(aⁿ) using logarithmic rules | A comprehensive guide

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