SOLUTION: Solve to four decimal places: 3.9^(m-4)=10.21. Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve to four decimal places: 3.9^(m-4)=10.21. Thanks      Log On


   

Question 43876: Solve to four decimal places: 3.9^(m-4)=10.21.
Thanks
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
My logs are to base 10:

+3.9%5E%28m-4%29=10.21+
+%28m-4%29log%283.9%29+=+log%2810.21%29+
+%28m-4%29+=+%28log%2810.21%29%29%2F%28log%283.9%29%29+
m-4 = 1.70713274
m = 5.70713274
m = 5.7071 to 4dp

jon.