Step-by-step explanation:
To find the solution, Tanisha can graph each side of the equation as its own function:
y₁ = log₃(5x)
y₂ = log₅(2x + 8)
The solution is where the two curves cross. From the graph, that happens at x ≈ 0.957.
desmos.com/calculator/lkukjhn3g2
We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is
X = -3, 3, 2i, -2i
Hope this helps! :)
Answer:
The solution is t = 1
Step-by-step explanation:
we have:
16 - 2t= t + 9 + 4t
or 16 - 2t = 5t + 9
-2t - 5t = 9 - 16
and
- 7t = -7
or t = -7/-7
t = 1
The solution is t = 1
X) = 3 ln(x)
g(x=2) = 3 ln(2)
g(x=4) = 3 ln(4) = 3 ln(22) = 6 ln2
We have two ordered pairs:
(x,3 ln(2)) and (4,6 ln(2))
The average rate of change is the slope (m) of the secant line connecting the two points:
m = (6 ln2 - 3 ln2)/(4-2) = 3ln(2)/2 ≅ 1.04
