Exponential and Logarithmic Functions

If $f(x) = \log(x)$, what is $f(1)$?

Given a logarithmic function $f(x)=\log_b(x-h)+k$ with an asymptote at $x=4$ and a y-intercept at $(0,-6)$, what are values of $h$ and $k$?

If the inverse of function $f(x) = x^2$ is given by $f^{-1}(y) = (\log_{b}(y))^k$, what is the value $k$ such that $f \circ f^{-1}(y) = y$?

For a polynomial function modeling profit based on production levels, what feature on its graph indicates maximum sustainable profit before costs outweigh revenue?

Given that $h(x)=4^{(x-1)}$, what transformation creates $k(x)=4^{-((x-1))}$?

What is the equivalent expression for $5(\\log_{b}x - \\log_{b}y)$ using properties of logarithms?

If you solve for x in this equation, what do you get? $5^{2-x}=125$

What is the inverse function of $y = \\log(x)$?

If $\log_b(x) = 5$, what is $x$?

What is the inverse function of $f(x) = e^{3x}$?