Question

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

Answer 1

Option A: 4 is the solution

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.

Answer 2

Answer:

A-4. got it correct

Step-by-step explanation: