SOLUTION: solve the equation: log base 7 n = 2/3log base 7 8

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve the equation: log base 7 n = 2/3log base 7 8      Log On


   

Question 368853: solve the equation: log base 7 n = 2/3log base 7 8
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation:
log base 7 n = 2/3log base 7 8
log7(n) = (2/3)log7(8)
-------
log7(n) = log7(8^(2/3))
-----
n = 8^(2/3)
---
n = 2^2
n = 4
======================
Cheers,
Stan H.