2^(n-1) = 256 ? give me the answer
n = 9
256 = , thus
Since the bases on both sides are equal (2) equate the exponents
n - 1 = 8 ( add 1 to both sides )
n = 9
if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that
where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.
in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.
step 1: solve one of the equations for one of the variables. let's solve the first equation for y:
step 2: substitute that equation into the other equation, and solve for x.
step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.