Exponential and Logarithmic Functions

If the function $f(x) = 3^x$ is reflected over the y-axis, what is the new equation of the function?

Given that $f(x) = e^{-x}$ for $x < 0$ and $f(x) = -e^{-x}$ for $x \\geq 0$, where exactly does $f(x)$ have a point of discontinuity?

For which value of k does j(k)=log_10(k+9)-log_10(k-1) simplify to an expression without logarithms?

What does it mean if two exponential functions are "equivalent"?

What does "log_a(b)" represent in terms of a power relationship between a and b?

For the transformed function $m(x) = n \cdot \ln(k \cdot x)$, where $k > 0$ and $n > 0$, what effect does decreasing $k$ have on the graph of $m(x)$?

Question: A particular radioactive isotope decays at an annual rate given by $A(t) = A_0 e^{-rt}$; if it takes exactly twelve years for the substance to decay to half of its original amount, what would be its remaining percentage after three years?

What is the horizontal asymptote of the graph representing a rational function used to model enzyme kinetics given by $f(x)=\frac{V_{max}x}{K_m+x}$, where both parameters $V_{max}$ and $K_m$ are positive constants?

What is the solution to the equation $e^{2x} - e^x - 6 = 0$ after substituting $u$ for $e^x$?

What is a value for 'a' such that both sides of this inequality are equivalent? $\log_{a}(64) > 6$, $x > 0$, $x \in \mathbb{R}$.