Step-by-step explanation:
Logarithm is basically the exponent - also called power - to which a base must be raised to produce a given number.
Mathematically, it can be displayed as:
is the logarithm of
to the base
, if
, in which case we write

Lets take the first example,

as

Therefore, 4 is the logarithm of 16 to base 2.
Lets take the second example,



- Logarithmic functions are basically inverse of exponents.
Here is how they are related to each other:
Logarithm → Exponent
→ 
- Logarithms are helpful in displaying large number.
Answer:
4/13 cups per person
Step - by - step explanation:
Write the given rate as a fraction in simplest form. 12 cups for every 39 people
O 39/12 cups per person
O 13/4 cups per person
0 4/13 cups per person
O 12/39 cups per person
There are 39 people
12 cups are available
Determine the number of cups per person
Cups per person = 12 cups / 39 people
= 12/39 cups per person
Divide both numerator and denominator by 3
= 4/13 cups per person
Cups per person as a fraction in simplest form = 4/13 cups per person
2 yards = 6 feet
6 feet - 1.5 feet = 4.5 feet
The pipe was 4.5 feet long after being cut.
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
It is 10 hundred or 1 thousand