SOLUTION: Log7 100 Find each of the following logarithms using the change of base formula. Round answers to the nearest ten thousandth.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Log7 100 Find each of the following logarithms using the change of base formula. Round answers to the nearest ten thousandth.       Log On


   

Question 210996: Log7 100
Find each of the following logarithms using the change of base formula. Round answers to the nearest ten thousandth.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Using the change of base formula:Log%5Bb%5D%28M%29+=+Log%5Ba%5D%28M%29%2FLog%5Ba%5D%28b%29 and in this problem, b(the old base) = 7, a = 10(the new base), M = 100.
Log%5B7%5D%28100%29+=+Log%5B10%5D%28100%29%2FLog%5B10%5D%287%29
Log%5B7%5D%28100%29+=+2%2F0.8451
highlight%28Log%5B7%5D%28100%29+=+2.3666%29Rounded to the nearest ten thousandth.