The three main log rules you'll encounter are
- log(A*B) = log(A) + log(B)
- log(A/B) = log(A) - log(B)
- log(A^B) = B*log(A)
The first rule allows us to go from a log of some product, to a sum of two logs. In short, we go from product to sum. The second rule allows us to go from a quotient to a difference. Lastly, the third rule allows to go from an exponential to a product.
Here are examples of each rule being used (in the exact order they were given earlier).
- log(2*3) = log(2) + log(3)
- log(5/8) = log(5) - log(8)
- log(7^4) = 4*log(7)
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Here's a slightly more complicated example where the log rules are used.
log(x^2y/z)
log(x^2y) - log(z)
log(x^2) + log(y) - log(z)
2*log(x) + log(y) - log(z)
Hopefully you can see which rules are being used for any given step. If not, then let me know and I'll go into more detail.
W = width of the rectangle
L = length, W + 3
Answer:
4t^3-t-4
Step-by-step explanation:
(-3t^3-5t)+(7t^3+4t-4)
Combine like terms
-3t^3+7t^3 +4t -5t-4
4t^3 -t -4
Its 32 because you times all of the sides, so 8 times 4 is 32
The Angle of rotation of the given regular pentagon after undergoing rotational transformation is; 72°
<h3>How to find the angle of rotation?</h3>
We are told that the image is a perfect pentagon that all its' sides are all equal with no uneven sides.
Now, A figure is said to have rotational symmetry if it looks exactly the same after rotating it some angle less than 360° which is a full rotation.
Now, a regular pentagon will have a rotational symmetry of order 5 because it will look the same after 5 turns.
Thus;
Angle of rotation = 360/5
Angle of rotation = 72°
Read more about Angle of Rotation at; brainly.com/question/2078551
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