How do you evaluate $\log_{7} 1$ ?

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Solution

Calculate the value of $\log_{7} 1$
Let $\log_{7} 1 = x$
Using the definition of $\log$ rewrite the given expression
$\Rightarrow 7^{x} = 1 \Rightarrow 7^{x} = 7^{0}$
On Compare L.H.S and R.H.S
$\Rightarrow x = 0$
Hence, the value of $\log_{7} 1$ is $0$

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