How do you solve \ln x=2?

Carla Murphy

Carla Murphy

Answered question

2021-12-13

How do you solve lnx=2?

Answer & Explanation

sirpsta3u

sirpsta3u

Beginner2021-12-14Added 42 answers

x=e2
Explanation:
Base e cancels out with the natural log (ln) function, so we can apply it to both sides. We get
elnx=e2
Notice base- e and ln cancel, and were
Melissa Moore

Melissa Moore

Beginner2021-12-15Added 32 answers

x=e2
Explanation:
ln(x)=2
Natural log has a base of e. More explicitly we can write:
lne(x)=2
Logarithms have the following form:
loga(x)=b
They also have the property:
aloga(x)=x
So we can raise both sides of our equation by e to extract the x:
eln(x)=e2
x=e2

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