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.
Answer:
Well i am not sure on that but i do know that the angle measures have to add up to 180 degrees hope that helps at least a little
Step-by-step explanation:
Answer:
the fraction of the total distance traveled on the sunday is ![\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D)
Step-by-step explanation:
The computation of the fraction of the total distance traveled on the sunday is given below:
![= 1 - \frac{2}{7} \times \frac{4}{5}\\\\= \frac{5}{7} \times \frac{4}{5}\\\\= \frac{4}{7}](https://tex.z-dn.net/?f=%3D%201%20-%20%5Cfrac%7B2%7D%7B7%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B5%7D%7B7%7D%20%20%20%20%5Ctimes%20%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B4%7D%7B7%7D)
Hence, the fraction of the total distance traveled on the sunday is ![\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D)
We simply multiplied the two fractions
Answer:
4 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
24 = 1/2 12 * height
height = 4 cm
Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C