Help with logarithms

Question

Log₁₄(-3n-3)=log₁₄ 24

Answer 1

Since these logs are in the same base and they must equal each other, that means what is inside the log must equal each other, so you can simplify the equation to read:

  ----> -3n-3 = 24

 

Now this is a more basic algebra problem

  ----> -3n-3 = 24  (Combine like terms by adding 3 to both sides)

  ----> -3n = 27 (isolate the variable by dividing both sides by -3)

  ----> n = -9 **