Solve log base 2 of one eighth
Answers
Answer:
-3
Step-by-step explanation:
(1/8)
= 1 -
8 ( recall
1 = 0)
= 0 - 8
= - 8 (change base to base 10)
= - (log 8) / (log 2) (now you can use a calculator)
= - 3
The log base 2 of , i.e.,
is -3.
In mathematics, the logarithm, denoted as "log," is an important mathematical function that represents the exponent to which a fixed base must be raised to obtain a given number. It is the inverse operation of exponentiation.
The logarithm function is typically written as , where x is the number for which we want to find the logarithm and b is the base. The base can be any positive number greater than 1, commonly used bases include 10 (logarithm to the base 10, often written as log(x)) and the mathematical constant e (natural logarithm, often written as ln(x)).
=
= -3.
So, is -3.
Learn more about log here:
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A pie was cut into 8 equal slices if Ruben ate 3/4 of the pie how many slices did he eat?
Answers
Answers
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
- 3 km west and 4 km south
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Answer:
Step-by-step explanation:
5km
Answers
Answers
Answer:
460
Step-by-step explanation
surface area is when you find the area of all the sides and add them together.
top: 12 x 10 = 120
botton: 12 x 10 = 120
front: 10 x 5 = 50
back: 10 x 5 = 50
left: 5 x 12 = 60
right: 5 x 12 = 60
460
x - y = 8
Answers
Answer:
C. (5, -3)
Step-by-step explanation:
4x + 3y = 11
x - y = 8 (multiply by 3) --> 3x - 3y = 24
4x + 3y = 11
3x - 3y = 24
---------------------add
7x = 35
x = 5
5 - y = 8
y = 5 - 8
y = -3
(5, -3)
Answer:
C. (5, -3)
Step-by-step explanation:
Rewrite the first equation.
Multiply the second equation by 3 and write it under the first equation.
4x + 3y = 11
3x - 3y = 24
Now add the equations.
7x = 35
Divide both sides by 7.
x = 5
Substitute 5 for x in the original first equation:
4(5) + 3y = 11
20 + 3y = 11
3y = -9
y = -3
Solution: (5, -3)
Can you also write down the formula to solve it.
Answers
Answer:
1,072.33
Step-by-step explanation:
your formula π (pi) * r² * h
substitute r² for 8 and h for 16
the answer is 1,072.33