Log20,25+2log20,5

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To simplify this expression, we can use the properties of logarithms:

log(20) + 2log(5)

First, we can combine the two logarithms using the property that log(a) + log(b) = log(ab):

log(20) + log(5^2)

Now, we can further simplify by using the property that log(a^b) = b * log(a):

log(20) + log(25)

Now, we can combine the two logarithms using the property log(a) + log(b) = log(ab):

log(20 * 25)

Finally, we can multiply 20 and 25 to get the final result:

log(500) = log(10^2 * 5) = log(10^2) + log(5) = 2 + log(5) = 2 + log(5)

Therefore, the simplified expression is 2 + log(5).