Question

What is the solution of log (2 t + 4) = log (14 minus 3 t)?
–18
–2
2
10

Answer 1

Set the arguments equal (same log base): 2t + 4 = 14 − 3t.
Solve: 5t = 10 → t = 2.
Check domain: 2(2)+4 = 8 > 0 and 14 − 3(2) = 8 > 0, so t = 2 is valid.

Answer: 2