what is the solution of log₃(3x + 2) = log₃(4x - 6)?\n-8\n-6\n8\n9

Explanation:

Step1: Use logarithmic property

If $\log_a M=\log_a N$, then $M = N$. So, $3x + 2=4x - 6$.

Step2: Solve for x

Subtract $3x$ from both sides: $3x+2-3x=4x - 6-3x$. This gives $2=x - 6$.

Step3: Isolate x

Add 6 to both sides: $2 + 6=x-6 + 6$. So, $x=8$.

Answer:

8