Question

Solving Exponential and Logarithmic Equations In Exercise, solve for x. In x = 3

Answer 1

Answer:

The solution is:

$x = e^{3} = 20.09$

Step-by-step explanation:

The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So

$\ln{x} = 3$

It already is in the desired format.

Now, we have that, since e and ln are inverse operations

$e^{\ln{a}} = a$

So, we apply the exponential to both sides of the equality

$e^{\ln{x}} = e^{3}$

$x = e^{3} = 20.09$