Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression.

ln �ã(x+4)=1

What is the exact solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.
The solution set is { }.
(Type an exact answer in simplified form.)

b. There are infinitely many solutions.
c. There is no solution.

What is the symbol ã supposed to mean ?

are we looking at ln √(x+4) = 1 ??

Two restrictions to consider:
1. we cannot take the square root of a negative, so x > -4
2. we can take the log of only a positive number.

Show what steps you have taken.

To solve the logarithmic equation ln(x+4) = 1, we need to isolate the variable x.

First, we need to remember the properties of logarithms. In this case, we can rewrite the equation using the exponential form: e^1 = x+4.

The exponential form e^1 = x+4 can be simplified further, as e^1 is equal to the constant e. Therefore, we have:

e = x + 4

To isolate x, we subtract 4 from both sides of the equation:

e - 4 = x

So, the exact solution to the logarithmic equation ln(x+4) = 1 is x = e - 4.

Therefore, the correct choice is A. The solution set is { e - 4 }.