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solve log20 + log5 - log 10

Question

solve log20 + log5 - log 10

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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.

This problem has been solved

Similar Questions

Solve the following logarithmic equation.

log 5​ (3x)+3log 5​ (3)=5

log 5​ (x−4)+log 5​ (2x−5)=1

log3(5) log5(12)

log5(5𝑥)=2 𝑥=

1/3

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