1. The point $(2, 25)$ lies on the graph of the exponential function $y=5^x$. Which point must lie on the graph of the logarithmic function $y=\log_5 x$?
2. The point $(32, 5)$ is on the graph of $y=\log_2 x$. Therefore, the point $(5, \_\_\_)$ must be on the graph of its inverse function, $y=2^x$.
3. The graph of any exponential function $y=b^x$ (for $b>0, b \neq 1$) passes through the point $(0, 1)$. What corresponding point must lie on the graph of any logarithmic function $y=\log_b x$?
4. The point $(c, 81)$ is on the graph of $y=3^x$. Because the functions are inverses, the point $(81, c)$ is on the graph of $y=\log_3 x$. What is the value of $c$? $c = \_\_\_$
5. The graph of the logarithmic function $g(x) = \log_7 x$ can be obtained by reflecting the graph of its inverse exponential function, $f(x) = 7^x$, across which line?
6. Evaluate the expression: $\log_2 32 = \_\_\_$.
7. Which exponential equation is equivalent to the logarithmic equation $\log_7 49 = 2$?
8. Find the value of the logarithm: $\log_6 \frac{1}{36} = \_\_\_$.
9. In the expression $\log_a c = b$, what does the value of $b$ represent?