Answer:
Step-by-step explanation:
you mean u=ln x,v=ln y
ln(x^3y^2)=lnx^3+ln y^2
=3 ln x+2 ln y
=3u+2v
Answer:
5
Step-by-step explanation:
(2x + y) - z
Let x=3 y=4 and z=5
2*3 +4 -5
Multiply and divide first
6 +4 -5
Then add and subtract
10-5
5
Answer:
(a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We need to simplify the given expressions.
(a)
Consider the given expression is

Using the property of exponent, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

(b)
Consider the given expression is

Using the property of exponent, we get
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)

(c)
Consider the given expression is

Using the property of exponent, we get
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

(d)
Consider the given expression is

Using the property of exponent, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
