SOLUTION: If log 8 (little 8)M = log 5(little 5) 7/log 5(little 5)8, then M = ?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If log 8 (little 8)M = log 5(little 5) 7/log 5(little 5)8, then M = ?      Log On


   

Question 35467: If log 8 (little 8)M = log 5(little 5) 7/log 5(little 5)8, then M = ?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28b%2CM%29+=+%28ln+M%29%2F%28ln+b%29+

This applies to any base of logarithms, not just to natural logarithms.
It also applies to log base 5, so
+log%28b%2CM%29+=+%28log%285%2CM%29%29%2F%28log%285%2Cb%29%29+

You are asking
+log%288%2CM%29+=+%28log%285%2C7%29%29%2F%28log%285%2C8%29%29+, so therefore, M= 7.

R^2 at SCC