Question

simplify each expression.

\\(\ln e^3 = \\)

\\(\ln e^{2y} = \\)

Explanation:

Simplify the first expression

Using the inverse property of natural logarithms, \(\ln(e^x) = x\):

$$ \ln(e^3) = 3 $$

Simplify the second expression

Using the same inverse property, \(\ln(e^x) = x\):

$$ \ln(e^{2y}) = 2y $$

Answer:

Question 1

\(\ln e^3 =\) <blank>3</blank>

Question 2

\(\ln e^{2y} =\) <blank>\(2y\)</blank>