@Confused student,
Confused student wrote:
8.79^x = 67.65
2.79^(x - 1) = 4.377^x
For problems like this, you can take the log of both sides. In the first problem, you get...
log (8.79^x) = log 67.65
x log 8.79 = log 67.65
x = log 67.65 / log 8.79
Use the same technique to solve for the second problem