1.7: Estimate roots using a graph

(a) Complete the table of values for $y = \mathrm{log}_3(4-x) + 3$ giving your answers to 2 decimal places.

(b) On the grid opposite, draw the graph of $y = \mathrm{log}_3(4-x) + 3$ in the interval $0 \leq x \leq 3.5$

(c) By drawing a suitable straight line on the grid, obtain an estimate,

to one decimal place, of the root of the equation $3^{2x-5} - (4-x)^3 = 0$ in the interval $0 \leq x \leq 3.5$

Only use this grid if you need to redraw your graph.