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

Question

asked Oct 7, 2021 226k views

2 Answers

Atila · Answer 1 · 2021-10-11T08:17:00+0000

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.