Solve. Check for extraneous solutions.

1. In (4x + 1) = ln (2x + 5)

The answer is x = 2. No extraneous solutions.

Step-by-step explanation:

Raise both sides to the eth power:

4x + 1 = 2x + 5

2x + 1 = 5

2x = 4

x = 2

We plug this in:

ln (4 (2) + 1) = ln (8 + 1) = ln (9)

ln (2 (2) + 5) = ln (4 + 5) = ln (9)