Solve all parts A-D. A. Y1= Y2= B. Sketch the graph C. fill in table with 5 numb

Question

Solve all parts A-D.

A. Y1=         Y2=

B. Sketch the graph

C. fill in table with 5 numbers each for

x       y1         y2

D. final Answer?

Explanation / Answer

A) 3logx+2log(x+5)=logx^3+log(x+5)^2=log[x^3(x+5)^2]>4 I'm not sure what your teacher wants here. I'd have my students simplify the function as follows before putting it in their calculator: x^3(x+5)^2>10^4 x^3(x+5)^2-10^4>0 y1=x^3(x+5)^2 y2=10^4 But your teacher might be happy with y1=3logx+2log(x+5) y2=4 B) Just put the equations in your calculator for y1 and y2. You'll see that in the first pair y1 is a fifth degree polynomial (positive leading coefficient), so it increases from left to right and looks a bit like x^3 does. Obviously, y2 is a horizontal line. C) C'mon, you don't need me for this:you can ask your calculator to show you the table! My way: Using the unchanged equations: x y1 y2 x y1 y2 -1 -16 10000 -1 1.204 4 0 0 10000 0 undef. 4 1 36 10000 1 1.5563 4 2 392 10000 2 2.5933 4 3 1728 10000 3 3.2375 4 5 125000 100000 5 4.0969 4 D) The first pair of graphs intersect at one point: x=4.727782, y=10000 The second pair of graphs intersects at x=4.727782, y=4 Either way, the solution is x>4.727782

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