Step by step
The question
Question: work out ln(1).
ln(1)
e is a special number, like π.
It is about 2.718.
A log with base e is written ln.
We say "natural log".
e ≈ 2.718
ln = loge
1 What the log asks
A log is a power.
ln(1) asks: e to what power is 1?
a log is a power
e to the power what is 1?
e? = 1
2 Find the power
Any number to the power 0 is 1.
e too.
any number0 = 1
So the power is 0.
e0 = 1
So ln(1) = 0.
ln(1) = 0
Let's look back.
First: what the log asks.
Last: find the power.
Answer
ln(1) = 0