1.24: The curve has equation (a) Using the axes below, sketch the graph of .

The curve $\displaystyle C$ has equation $\displaystyle y = -\mathrm{log}_4(x + 4)$

(a) Using the axes below, sketch the graph of $\displaystyle C$.

Label the coordinates of the points of intersection of $\displaystyle C$ with the coordinate axes and the equation of any asymptote to $\displaystyle C$.

(b) Solve the equation $\displaystyle \mathrm{log}_{(x+4)} 256 - \mathrm{log}_4(x + 4) = 0$