Problem

Write the equation in its equivalent exponential form. $\log _{b} 216=3$ (A) $216^{b}=3$ (B) $216^{3}=b$ $b^{3}=216$ D) $3^{b}=216$

Solution

Step 1 :Write the equation in its equivalent exponential form: $\log _{b} 216=3$

Step 2 :Use the formula $\log_{b}a = c$ is equivalent to $b^c = a$, where $b$ is the base, $216$ is the value of $a$, and $3$ is the value of $c$

Step 3 :Calculate the base: $b^3 = 216$

Step 4 :\(\boxed{b^{3}=216}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16078/

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