solve log20 + log5 - log 10
Solution
Sure, let's solve the equation using the properties of logarithms.
The equation is: log20 + log5 - log10
We can use the properties of logarithms to simplify this equation.
The first property we'll use is the product property, which states that the log of a product is equal to the sum of the logs of its factors. So, we can combine the first two terms:
log20 + log5 = log(20*5) = log100
So, the equation now is: log100 - log10
Next, we'll use the quotient property, which states that the log of a quotient is equal to the difference of the logs. So, we can combine these terms:
log100 - log10 = log(100/10) = log10
The logarithm base 10 of 10 is 1. So, the solution to the equation is 1.
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