QUESTION 1
The given logarithm is
We apply the power rule of logarithms; 
We now apply the product rule of logarithm;
QUESTION 2
The given logarithm is
We apply the power rule of logarithm to get;
We apply the product to obtain;
We apply the quotient rule; 
![=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})](https://tex.z-dn.net/?f=%3D%5Clog_5%28%5Cfrac%7Bx%5E8%20%5Csqrt%5B4%5D%7By%5E3%7D%20%7D%7Bz%5E5%7D%29)
The number of ways to select 4 digits from 10 digits is
₁₀C₄ = 10!/(4!*6!)
= (10*9*8*7*6!)/(4*3*2*1*6!)
= (10*9*8*7)/(4*3*2)
= 210
If order is not important, the number of arrangements of 6,7,8,9 in any order is
4! = 4*3*2*1
= 24
The probability that these 4 digits are assigned is
24/210 = 0.1143
Answer:
The exact value of
sin
(
30
)
sin(30) is
1
2
12.
15
⋅
1
2
15⋅12
Combine
15
15 and
1
2
12.
15
2
152
The result can be shown in multiple forms.
Exact Form:
15
2
152
Decimal Form:
7.5
7.5
Mixed Number Form:
7
1
2
712
Step-by-step explanation:
