Question

Suppose that ln x = −3. rounded to the nearest hundredth, what does x equal

Answer 1

$ln(x) = - 3 \\ x = {e}^{ - 3} \\ x = \frac{1}{ {e}^{3} }$

Answer 2

Answer:

x=0.05

Step-by-step explanation:

We have been given the equation

$\ln x=-3$

We know the relation

$\text{ If }\ln x=y\Rightarrow x=e^y$

Using this property, we have

$x=e^{-3}$

Now, using the exponent property $x^{-a}=\frac{1}{x^a}$

$x=\frac{1}{e^{3}}\\\\x=0.05$

The value of x is 0.05