#1**0 **

Solve for n:

log(7) + log(n - 2) = log(6 n)

Subtract log(6 n) from both sides:

log(7) + log(n - 2) - log(6 n) = 0

log(7) + log(n - 2) - log(6 n) = log(7) + log(n - 2) + log(1/(6 n)) = log((7 (n - 2))/(6 n)):

log((7 (n - 2))/(6 n)) = 0

Cancel logarithms by taking exp of both sides:

(7 (n - 2))/(6 n) = 1

Multiply both sides by 6 n:

7 (n - 2) = 6 n

Expand out terms of the left hand side:

7 n - 14 = 6 n

Subtract 6 n - 14 from both sides:

**Answer: |n = 14**

Guest Feb 28, 2017