Question

Solve log (3x + 4) = log (x – 2) + 3 log 2

Answer 1

x + 4

Explanation:

Sine the bases are all the same, I can write the equation:

3x+4 = (x-2) 2^3 When we are adding with logs, that means to multiple. Also, when we have 3 log 2, that can be written as 2^3 or 8 (2x2x2)

3x+4=(x-2)8

3x+4 = 8x-16

4=5x-16

20 = 5x

4=x