Answer:
![log7](https://tex.z-dn.net/?f=log7)
Step-by-step explanation:
when adding logs, apply the log rule: ![\log _a\left(x\right)+\log _a\left(y\right)=\log _a\left(xy\right)](https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Cright%29%2B%5Clog%20_a%5Cleft%28y%5Cright%29%3D%5Clog%20_a%5Cleft%28xy%5Cright%29)
∴ ![\log\left(\frac{14}{3}\right)+\log\left(\frac{11}{5}\right)=\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)](https://tex.z-dn.net/?f=%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Cright%29%2B%5Clog%5Cleft%28%5Cfrac%7B11%7D%7B5%7D%5Cright%29%3D%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%5Cright%29)
when subtracting logs, apply the log rule: ![\log _a\left(x\right)\:-\:\log _a\left(y\right)=\log _a\left(\frac{x}{y}\right)](https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Cright%29%5C%3A-%5C%3A%5Clog%20_a%5Cleft%28y%5Cright%29%3D%5Clog%20_a%5Cleft%28%5Cfrac%7Bx%7D%7By%7D%5Cright%29)
![\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)-\log\left(\frac{22}{15}\right)=\log\left(\frac{\frac{14}{3}\cdot \frac{11}{5}}{\frac{22}{15}}\right)\\\\=\log\left(7\right)](https://tex.z-dn.net/?f=%5Clog%5Cleft%28%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%5Cright%29-%5Clog%5Cleft%28%5Cfrac%7B22%7D%7B15%7D%5Cright%29%3D%5Clog%5Cleft%28%5Cfrac%7B%5Cfrac%7B14%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B5%7D%7D%7B%5Cfrac%7B22%7D%7B15%7D%7D%5Cright%29%5C%5C%5C%5C%3D%5Clog%5Cleft%287%5Cright%29)
Answer:
7/8
Step-by-step explanation:
you find the common denominator which is 2 so you can divide both by two to get 7/8
Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
we will check each options
option-A:
For solving any equations , we always isolate variables on anyone side
For exp: x+7=1
so, this is TRUE
option-B:
For solving system of equations
For exp:
x-y=1
x+y=3
If we use addition , we could easily solve for x and y
so, this is TRUE
option-C:
We always solve problems using conventional method
we do not guess
so, this is FALSE
option-D:
We often reverse order of operation
For exp:
(x-2)^2-3=0
so, this is TRUE
option-E:
For linear equations , we always get one solution , infinite solutions or no solutions
so, this is FALSE
The answer to this question is 36