How do you solve # 1/2log_a(x + 2) + 1/2log_a(x - 1) = 2/3log_a27#?
We can try some manipulations:
use the property of logs that says:
use the other property of logs that says:
if the two logs must be equal then the argumens must be as well:
You can now use the Quadratic Formula to get: