Question

What is the value of y given that logx 1 = y(x>0) ?

Answer 1

\[\log_{x} 1=y\]
\[x ^{y}=1\]
\[y \times \log_{10} x=\log_{10} 1\]
\[y=\frac {\log_{10} 1}{\log_{10} x}\]
Can you finish it now?

Answer 2

\[ x ^{y}=1 = x^0 \\ \\
\\ and, \;
\log_{k} 1 = 0
\]
k may have any value!!

Answer 3

By definition the log of 1 to any base must equal zero.

Answer 4

Any number to the zeroth power gives you 1.
Here is the best reasoing I found: