The solution of the logarithms equation is
Given
The following expression:
<h3>What properties for Logarithms are used to solve the equation?</h3>
The following properties are used in the logarithms equation given below.
According to the Power of a power property:
- Step 1: Apply the third property for logarithms shown above:
- Step 2: Apply the Power of a power property:
- Step 3: Using the property for Radicals;
Hence, the solution of the logarithms equation is .
To know more about logarithms properties click the link given below.
brainly.com/question/26053315
Answer:
-4 + -6 = -10
Step-by-step explanation:
you just have to start at the negative four and count up to the number negative ten, then you think “how many spaces are there between four and ten? SIX. so you just take six and turn it negative, boom.
Answer:60
Step-by-step explanation:20x6=120 120/2=60
9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
<h3>What is the Volume of a Cone?</h3>
Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.
Given the following:
- Volume = 1/18 π ft³
- Diameter = 2/3 ft
- Radius = (2/3)/2 = 1/3 ft
- Height (h) = ?
Plug in the values into the volume formula:
1/18π = 1/3π(1/3)²h
1/18π = 1/3π(1/9)h
1/18π = (πh)/27
Divide both sides by π
1/18 = h/27
Cross multiply
27 = 18h
27/18 = h
h = 1.5
Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
Learn more about volume of cone on:
brainly.com/question/13677400