what is the solution of log(t - 3)=log(17 - 4t)?\n4\n5\n15\n20
what is the solution of log(t - 3)=log(17 - 4t)?\n4\n5\n15\n20
Answer
Explanation:
Step1: Use log - property
If $\log a=\log b$, then $a = b$. So, $t - 3=17-4t$.
Step2: Solve for t
Add $4t$ to both sides: $t+4t - 3=17-4t+4t$, which simplifies to $5t - 3=17$. Then add 3 to both sides: $5t-3 + 3=17 + 3$, getting $5t=20$. Divide both sides by 5: $\frac{5t}{5}=\frac{20}{5}$, so $t = 4$.
Answer:
A. 4