Answer:
Step-by-step explanation:
Consider the given expression is
![\ln (x\sqrt[3]{x^2+1})](https://tex.z-dn.net/?f=%5Cln%20%28x%5Csqrt%5B3%5D%7Bx%5E2%2B1%7D%29)
We need to rewrite the expression as a sum,difference,or multiple of logarithms.
![[\because \sqrt[n]{x}=x^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
Using the properties of logarithm we get
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln (a^b)=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28a%5Eb%29%3Db%5Cln%20a%5D)
Therefore, the simplified form of the given expression is
.
Answer:
Step-by-step explanation:
(8,2),(11,-13)
slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5
y = mx + b
slope(m) = -5
(8,2)...x = 8 and y = 2
now we sub and find b, the y int
2 = -5(8) + b
2 = -40 + b
2 + 40 = b
42 = b
so ur equation is : y = -5x + 42...now we need it in standard form
Ax + By = C
y = -5x 42
5x + y = 42 <====
Answer:
45
Step-by-step explanation:
3/4 of 60 would be:
= 3/4 * 60
= 3*60 / 4
= 180 / 4
= 45
Hope this help you :3
Answer:
x+3y+z=21
Step-by-step explanation:
x+3y+z
4+3(5)+2
4+15+2
21
3(4m-2) -2(m+5)
12m -6 -2m -10
10m -16
answer is 10m -16 :)