The Lone Log

This is simple, given the logarithm definition $\log_{a}b=x \Rightarrow a^x=b$ so $\log_{10}1=w \Rightarrow 10^w =1.$ Hence $w = 0$ .

Fact: When there appears the base of a logarithm, indicates that the base is 10.

I always know that $\log1 = 0$ , no need to count

If log x = L,
then $b^L$ = x (where b = base of the log)

Put x = 1
$b^L$ = 1
But we know $b^0$ = 1
Therefore L = 1.

The logarithm operation for any base asks that we find the power required to make the base equivalent to the value.We use the fact that for general x>0(don't know about x=0),x^0=1,therefore for our trivial expression the answer is 0.

Since no base is included, we assume it is 10. So the logarithm base 10 of 1 is zero because 10 raised to the power of 0 (or rather, any number raised to the power of 0) is 1.

By the rules of Logarithm $\log(1) = 0$ . Follow the rules to make you perfect.

The logarithm of x=1 is the number y we should raise the base b to get 1. The base b raised to the power of 0 is equal to 1, b0 = 1 So base b logarithm of one is zero: logb(1) = 0 For example, the base 10 logarithm of 1: Since 10 raised to the power of 0 is 1, 100 = 1 Then the base 10 logarithm of 1 is 0. log10(1) = 0