Question

Solve for x:

log (2x + 4) = 1

Answer 1

Given: log (2x + 4) = 1

Step-wise calculation:

1. Convert to exponential form base 10: 

10¹ = 2x + 4

2. So 10 = 2x + 4

3. Subtract 4:

2x = 6

4. Divide by 2:

x = 3

5. Domain check:

2x + 4 > 0

⇒ x > –2 and x = 3 satisfies this.