- ln x= 1.572, x=?

Question

When i calculate this i got - 1.48, but the answer is only 0.21

Answer 1

The first thing I would do here is multiply both sides by -1 to get

ln x = -1.572

 

To solve this, you need to move from log form to exponential form. The base of natural log (ln) is e, so it changes to

x = e^-1.572

 

Generally, log form and exponential form are interchangeable

log_b x = y   <==>  x = b^y

ln() and log() are special cases written without a base, having assumed base e and base 10, respectively.