Respuesta :
Answer:
-2
Step-by-step explanation:
log(2t+4)=log(14-3t)
[Divide both sides with log, since both sides have log, division removes the log]
2t+4=14-3t
2t+3t=14-4
5t=10
t=2
The solution to the logarithmic equation is given by:
t = 2.
What is the logarithmic equation?
In this problem, it is given by:
[tex]\log{(2t + 4)} = \log{(14 - 3t)}[/tex]
Considering that the logarithm function is injective, we have that:
[tex]2t + 4 = 14 - 3t[/tex]
[tex]5t = 10[/tex]
[tex]t = \frac{10}{5}[/tex]
[tex]t = 2[/tex]
Hence, the solution to the equation is t = 2.
More can be learned about logarithmic equations at https://brainly.com/question/25537936