Question

write the following logarithmic equation in exponential form: \\(\log_{7}(w) = z\\) \\(\bigcirc\\) a. \\(z^{7} = w\\) \\(\bigcirc\\) b. \\(7^{z} = w\\) \\(\bigcirc\\) c. \\(w^{z} = 7\\) \\(\bigcirc\\) d. \\(w^{7} = z\\)

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b(x) = y$, the exponential form is $b^y = x$.

Step2: Match values to the rule

Here, $b=7$, $x=w$, $y=z$. Substitute into the rule: $7^z = w$.

Answer:

b. $7^{z}=w$