Answer: x log[5] = log[125]
Explanation:
The original expression is 125 = 5^x
To express that as a logarithmic equation take logarithms on both sides:
log [125] = [log 5^x]
By the properties of the logartims of powers that is:
log [125] = x log[5]
And that is the equation required.
If you want to solve it, you can do 125 = 5^2, and apply the same property (logarithm of a power) to the left side, yielding to:
log [5^2 ]= x log[5]
=> 2 log[5] = x log[5]
=> 2 = x
Answer:
It is (x+ 1
Step-by-step explanation:
Because -1 is a root because 4(-1)^3 + 9(-1)^2 - (-1) - 6 = -4 + 9 + 1 - 6 = -5 + 5 = 0
2/3 = 16/24 if you multiply the top and bottom by 8.
7/8 = 21/24 if you multiple the top and bottom by 3.
7/8 is bigger.
The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°
Answer:
3/4y + 8
Step-by-step explanation: It has no like terms so ye
