SOLUTION: 1/2 log base 5 1 - 2 log base 5 5

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Question 182378: 1/2 log base 5 1 - 2 log base 5 5
Found 3 solutions by stanbon, jim_thompson5910, nerdybill:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1/2)[ log base 5 1] - 2 [log base 5 5]
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Notes:
log(base 5) 1 = 0 because 5^0=1
log(base 5) 5 = 1 because 5^1=5
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Your problem becomes:
(1/2)*0 - 2(1)
= -2
=================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%29%29 Start with the given expression.


%281%2F2%29%280%29-log%285%2C%285%5E2%29%29 Evaluate log%285%2C%281%29%29 to get 0


0-log%285%2C%285%5E2%29%29 Multiply


-log%285%2C%285%5E2%29%29 Simplify


-2%2Alog%285%2C%285%29%29 Use the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 to rewrite the expression.


-2%2A1 Evaluate log%285%2C%285%29%29 to get 1


-2 Multiply


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Answer:


So %281%2F2%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%29%29=-2

Answer by nerdybill(7384) About Me  (Show Source):