Question

What is the solution of log (2 t + 4) = log (14 -3 t)

Answer 1

Answer: To solve the equation log(2t + 4) = log(14 - 3t), we can use the property of logarithms that states if log base a of x equals log base a of y, then x equals y.

Therefore, in this case, we have:

2t + 4 = 14 - 3t

Let's solve for t:

2t + 3t = 14 - 4

5t = 10

Dividing both sides by 5:

t = 2

So the solution to the equation log(2t + 4) = log(14 - 3t) is t = 2.