Question

Write the exponential equation in logarithmic form.
x^0 = 1, (x is different than 0)

Answer 1

\[\ln 1=0\]

Answer 2

We have
\[x^0=1\]
Take log both sides
\[\log_{10} x^0= \log_{10} 1\]
We know
\[\log_a b^c=c \times\log_a b\]
so
\[\log_{10} x^0= \log_{10} 1\]
We get
\[0 log_{10} x=\log_{10} 1\]
so
\[0=0\]
This is a trivial equation any value of x>0 will satisfy this