Question

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

ex+1 = 4

Answer 1

The solution is
`x = 0.3863`

Explanation:

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

`e^(x+1) = 4`

We already have this, so the first part is ok.

Now, the ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.

`\ln{e^(x+1)} = ln(4)`

`x + 1 = 1.3863`

`x = 1.3863 - 1`

`x = 0.3863`