Let $x$ be an odd integer greater than 1, and let $b=x-1$. The equation $\log_b a=x$ is true. Which of the following phrases describes every value of $a$ ?

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$$\log_b a=x$$

Rewriting in exponential form:

$$b^x = a$$

Because $b=x-1$,

$$(x-1)^x = a$$

Since $x$ is odd and greater than 1, $x-1$ will always be even. Taking any even number to any power results in an even nonzero number. We should verify this by trying out some values of $x$.