Answer:

Step-by-step explanation:
To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.
So


We find the square of both sides of the equation. So




Answer:
f³(x) = 64/x⁶
Step-by-step explanation:
f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³
f³(x) = 64/x⁶
_____
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
<h2><em>The x intercept is -250, and the y intercept is 100. x is the horizontal line, and the intercept is where the line goes through the x axis. Same thing for y only for the vertical line. So,</em></h2><h2><em>(-250, 0)</em></h2><h2><em>(0, 100)</em></h2>