Log n = log 4 – log 20, find n =?A.1/4B.1/2C.1/5D.None of these

To solve the equation log n = log 4 - log 20, we can use the properties of logarithms.

Step 1: Apply the property of logarithms that states log a - log b = log(a/b).

log n = log 4 - log 20 can be rewritten as log n = log(4/20).

Step 2: Simplify the expression inside the logarithm.

4/20 can be simplified to 1/5.

So, log n = log(1/5).

Step 3: Apply the property of logarithms that states log a = log b if and only if a = b.

Since log n = log(1/5), we can conclude that n = 1/5.

Therefore, the value of n is 1/5.

The correct answer is C. 1/5.