Question

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

Answer 1

A. 4

Explanation:

Answer 2

t = 4

Explanation:

Expression: log (t minus 3) = log (17 minus 4t)

First we have to apply the log rule:

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

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