# How do you solve #ln x = -5#?

##### 2 Answers

Dec 19, 2015

#### Explanation:

From the definition of a logarithm, we have the property

Dec 19, 2015

#### Explanation:

If

then

which can be evaluated using a calculator as

**Why?**

#ln(x)# means the same thing as#log_e (x)# #b^(log_b(a)) = a#

#color(white)("XXX")# because#log_b(a)# means

#color(white)("XXX")# the value,#c# , needed as an exponent to make#b^c = a#