what is the solution of log(2t + 4)=log(14 - 3t)?\n-18\n-2\n2\n10

Explanation:

Step1: Use logarithmic property

If $\log(a)=\log(b)$, then $a = b$. So, $2t + 4=14 - 3t$.

Step2: Move terms with $t$ to one - side

Add $3t$ to both sides: $2t+3t + 4=14-3t + 3t$, which simplifies to $5t + 4=14$.

Step3: Isolate the term with $t$

Subtract 4 from both sides: $5t+4 - 4=14 - 4$, getting $5t=10$.

Step4: Solve for $t$

Divide both sides by 5: $\frac{5t}{5}=\frac{10}{5}$, so $t = 2$.

Answer:

C. 2