Answer:

Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:

Logarithm of the base:

Product rule:

Division rule:

Power rule:

Change of base:

Simplifying logarithms often requires the application of one or more of the above properties.
Simplify

Factoring
.

Applying the power rule:

Since


Applying the power rule:

Applying the logarithm of the base:

Answer:
See the attached file for the answer.
Step-by-step explanation:
See the attached file for the explanation.
Answer:
TSA = 175.84 ft²
Step-by-step explanation:
We are given;
Lateral surface area; A_L = 75.36 ft²
Area of base; A_b = 50.24 ft²
Height of cylinder; h = 3ft
Formula for total surface area of Cylinder is;
TSA = 2πr² + 2πrh
Now, lateral surface area is given by the formula; A_L = 2πrh
Area of base is given by the formula;
A_b = πr²
Thus, let's apply these 2 formulas to the formula for total surface area;
TSA = 2(Area of base) + Lateral surface area
TSA = (2 * 50.24) + 75.36
TSA = 175.84 ft²
Answer:
They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
We know that
1 Kg is equals to--------------> 1000 g
so
X Kg------------------------> 300 g
X=300/1000------> x=0.30 Kg
if 2 Kg cost--------------> <span>£7.20
0.30 Kg-------------> X
X=0.30*7.20/2------> x=1.08
the answer is
</span>£1.08