Subjects algebra

Logarithm Exponential 61C455

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Logarithm Exponential 61C455


1. The problem asks to rewrite each logarithmic equation in exponential form. 2. Recall the definition of logarithm: if $\log_b a = c$, then the exponential form is $b^c = a$. 3. Apply this to each equation: 1) $\log_{11} 121 = 2$ means $11^2 = 121$. 2) $\log_9 81 = 2$ means $9^2 = 81$. 3) $\log_7 49 = 2$ means $7^2 = 49$. 4) $\log_{216} 6 = \frac{1}{3}$ means $216^{\frac{1}{3}} = 6$. 4. These are the exponential forms of the given logarithmic equations. Final answers: $11^2 = 121$ $9^2 = 81$ $7^2 = 49$ $216^{\frac{1}{3}} = 6$