Option A: 4 is the solution
Explanation:
The given expression is [tex]\log (t-3)=\log (17-4 t)[/tex]
We need to determine the solution of the expression.
Solution:
The solution of the expression can be determined by solving the expression for t.
Let us solve the given expression.
Applying the log rule, if [tex]\log _{b}(f(x))=\log _{b}(g(x))[/tex] then [tex]f(x)=g(x)[/tex]
Thus, we have;
[tex]t-3=17-4 t[/tex]
Adding both sides of the equation by 4t, we get;
[tex]5t-3=17[/tex]
Adding both sides of the equation by 3, we have;
[tex]5t=20[/tex]
Dividing both sides of the equation by 5, we get;
[tex]t=4[/tex]
Hence, the value of t is 4.
Therefore, the solution of the given expression is 4.
Thus, Option A is the correct answer.
