Ln20+ln5=2lnx
ln(20x5)=lnx^2
ln100=1nx^2
100=x^2
square root
x=10
Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.
Answer:
FORMULA USED-
NUMBER OF SUBSETS OF A SET WITH n ELEMENTS= 2^n
Here our set is { onions, garlic, carrots, brocoli, shrimp, mushrooms, zucchini, green pepper}
Different variations available for ordering pasta with tomato sauce= 28 = 256 ( As here n= 8)
F(2)=4(2)+5
f(2)=8+5
f(2)=13
Answer:
The area of the sector is 25.1327 cm²
Step-by-step explanation:
The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:
area = (angle*r²)/2
area = [(4*pi/9)*(6)²]/2
area = [(4*pi/9)*36]/2
area = (144*pi/9)/2
area = 144*pi/18
area = 8*pi
area = 25.1327 cm²
The area of the sector is 25.1327 cm²