Question

What is the solution of log (t minus 3) = log (17 minus 4 t)?
4
5
15
20

Answer 1

A-4. got it correct

Step-by-step explanation:

Answer 2

Option A: 4 is the solution

Step-by-step explanation:

The given expression is
`\log (t-3)=\log (17-4 t)`

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
`\log _(b)(f(x))=\log _(b)(g(x))` then
`f(x)=g(x)`

Thus, we have;

`t-3=17-4 t`

Adding both sides of the equation by 4t, we get;

`5t-3=17`

Adding both sides of the equation by 3, we have;

`5t=20`

Dividing both sides of the equation by 5, we get;

`t=4`

Hence, the value of t is 4.

Therefore, the solution of the given expression is 4.

Thus, Option A is the correct answer.