What is the logarithmic form of #e^a =38.47#?

1 Answer
Sep 16, 2016

#a = ln(38.47)#

Explanation:

We have: #e^(a) = 38.47#

Let's apply #ln# to both sides of the equation:

#=> ln(e^(a)) = ln(38.47)#

Using the laws of logarithms:

#=> a ln(e) = ln(38.47)#

#=> a cdot 1 = ln(38.47)#

#=> a = ln(38.47)#