Exponential and Logarithmic Functions

What is the value of $\log_{2} 32$?

Simplify the expression $\log_{5}(25)$.

If you have $\log_7 (49)$, what is your result?

What is the base of the logarithmic function $f(x) = \\log_{2}(x)$?

If $f(x) = e^x$, what does $f^{-1}(x)$ represent?

What is the base number if you know $\log_{a}(100)$ equals 20?

How does transforming $y=\log_{2}(x)$ to $y=\log_{2}(2x-6)+3$ affect its graph?

What does $\log_b(b)^5$ simplify to?

What is the value of k that ensures continuity for h(x) if h(x) = {\log_{2}(4x) \text{ if } x < k, \log_{2}(8-x^2) \text{ if } x \geq k}?

For which value(s) of a will $\lim_{x \to a^+} (\log_7(ax-3))$ exist?