Answer:
t = 4
Step-by-step explanation:
Expression: log (t minus 3) = log (17 minus 4t)
First we have to apply the log rule:
[tex]log _{b}(f(x))=\log _{b}(g(x)) then f(x)=g(x)[/tex]
Now, we have:
t - 3 = 17 - 4t
We have to move the 4t to the other side of the equation. We can add both sides by 4t since we are using inverse operations.
Then, we have:
5t - 3 = 17
Next, we add the 3 to both sides.
5t = 20
Lastly, we need to divide by 5.
5t = 20
5t/5 = 20/5
t = 4
