Rewrite $$ \log _{\mathrm{v}} n=a $$ in exponential form

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To rewrite the logarithmic equation $$ \log_{\mathrm{v}} n = a $$ in exponential form, you can use the fundamental definition of logarithms.

**Definition of a Logarithm:**
$$
\log_b x = y \quad \text{is equivalent to} \quad b^y = x
$$
This means that the logarithm $$\log_b x$$ answers the question: "To what power must the base $$b$$ be raised, to produce the number $$x$$?"

**Applying the Definition:**
Given your equation:
$$
\log_{\mathrm{v}} n = a
$$
Using the definition above, you can rewrite this logarithmic equation in its exponential form by exponentiating the base $$\mathrm{v}$$ to the power of $$a$$:
$$
\mathrm{v}^a = n
$$
So, the exponential form of $$ \log_{\mathrm{v}} n = a $$ is:
$$
\mathrm{v}^a = n
$$
$$ \mathrm{v}^a = n $$

Rewrite \( \log _{\mathrm{v}} n=a \) in exponential form

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