SOLUTION: log base 10 (20 sqrt (5))+ log base 10 (5 sqrt (2))

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Question 739672: log base 10 (20 sqrt (5))+ log base 10 (5 sqrt (2))
Found 2 solutions by lwsshak3, Alan3354:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log base 10 (20sqrt(5))+ log base 10 (5sqrt(2))
log%2820sqrt%285%29%29%2A%285sqrt%282%29%29
log%28100sqrt%2810%29%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log base 10 (20 sqrt (5))+ log base 10 (5 sqrt (2))
Base 10 is the default, you don't need to specify it.
---------
log(20 sqrt (5))+ log(5 sqrt (2))
Add logs --> multiply
= log(20 sqrt (5))*(5 sqrt (2))
= log(100*sqrt(10))
= log(100) + log(sqrt(10))
= 2 + 0.5
= 2.5