A student solved log4(2x – 12) = 3, as shown.

x = -6

Step-by-step explanation:

you want to solve the aswer so you wanna solve for whats in the parenthesis so your new equation should look like this:

8x + 48 = 3

you want to subtract 48 from both sides  your new equation should look like this:

8x = -45

now you want to get x by itself and your new equation should be:

x = -6

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204