SOLUTION: Evaluate log10(25/10)-2log10(5/9)+log10(100/243)

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Question 1205380: Evaluate log10(25/10)-2log10(5/9)+log10(100/243)
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

Base 10 can be omitted, at all, in order for do not strain your eyes unnecessarily.


So, the starting expression is  log(25/10)-2log(5/9)+log(100/243).


Using properties of logarithms, it is 

    log%28%28%2825%2A9%5E2%2A100%29%2F%2810%2A5%5E2%2A9%5E3%29%29%29 = log%28%2825%2F5%5E2%29%2A%289%5E2%2F3%5E5%29%2A%28100%2F10%29%29 = log%28%2810%2F3%29%29 = log%28%2810%29%29 - log%28%283%29%29 = 1 - log(3) = 0.522878745.   ANSWER


You can round it in a way you want.