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