Subjects algebra

Logarithm To Exponential

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Logarithm To Exponential


1. The problem states: Rewrite the logarithmic equation $$91 = \log_5 y$$ as an exponential equation. 2. Recall that the logarithmic equation $$\log_b a = c$$ can be rewritten as the exponential equation $$a = b^c$$. 3. Applying this definition to our equation, we have: $$91 = \log_5 y \implies y = 5^{91}$$. 4. Therefore, the exponential form of $$91 = \log_5 y$$ is $$y = 5^{91}$$.