The solution of \(log(2t+4) = log(14-3t)\) is t = 2.
We have to determine, the solution of log(2t+4)=log(14-3t).
According to the question,
The solution of the given equation is determined by using logarithmic properties.
Then,
\(log(2t+4) = log(14-3t)\)
Taking \(log_1_0\) base to remove the log function,
\(log(2t+4) = log(14-3t)\\\\2t+4 = 14-3t\\\\2t+ 3t = 14-4\\\\5t = 10\\\\t = \dfrac{10}{5}\\\\t = 2\)
Hence, The solution of \(log(2t+4) = log(14-3t)\) is 2.
To know more about Logarithmic properties click the link given below.
https://brainly.com/question/15673235
