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.
5/4 : 5/6
= 5/4 * 6/5
= 1/4 * 6/1
= 1/2 * 3/1
= 3/2 = 1 1/2 = 1.5 gallons
I hope the answer above is correct because I need this answer too. Was it ?
Help !
The unit rate here is 2 pounds of trash in an hour. If two pounds of trash are picked up in an hour, we can multiply that by 3 and get that there will be 6 pounds picked up in 3 hours.
Answer:

Step-by-step explanation:
<u>Inequalities</u>
To solve the inequality:

We need to perform the required operations on both sides of the inequality to have the variable w isolated.
First, we subtract 9:


Subtracting 6w:

Operating:
-7w>-1
Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:

Operating:

Solution:
