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justaguide eNotes educator| Certified Educator

The expression given is (1/2)log(25) + log(20)

To simplify this, use the property: a*log b = log b^a and log a + log b = log a*b. Also, log is usually used for logarithm to the base 10.

(1/2)log(25) + log(20)

=> log 25^(1/2) + log 20

=> log 5 + log 20

=> log 5*20

=> log 100

=> log 10^2

=> 2* log 10

log 10 = 1

=> 2

The value of (1/2)log(25) + log(20) = 2

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