Question

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

Answer 1

The solution is:

`x = e^(3) = 20.09`

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`