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: Add $3t$ to both sides

$2t+3t + 4=14-3t+3t$, which simplifies to $5t + 4=14$.

Step3: Subtract 4 from both sides

$5t+4 - 4=14 - 4$, resulting in $5t=10$.

Step4: Divide both sides by 5

$\frac{5t}{5}=\frac{10}{5}$, so $t = 2$.

Answer:

C. 2