Answer: Explanation below.
Step-by-step explanation:
First of all you need to know how to convert a logarithm into an exponential expression. The property is:

This is the same as: 
Example 1:

We are trying to find what to raise 9 to, in order to get a result of 9.

When you have same bases, you equal exponents.

Therefore; 
Example 2:


In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as:
which is 2*2*2*2*2
Rewriting this example we have;

Since we have the same base, we equal exponents.

Therefore; 
Example 3:


729 can have a base of 3 if expressed as: 


Answer:
Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.
So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"
Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.
We can select 3 vertices from 7 vertices in 7C3 ways.
Answer:
2/3
Step-by-step explanation:
32(4x – 1) – 3x = 54 –(x + 2)
⇒ 32×4x-32-3x= 54-x-2 (using the distributive property)
⇒ 128x-32-3x=54-x-2
Taking terms on x on one side and constant term on other, we get
128x-3x+x= 54-2+32
⇒ 126x= 84
⇒ x= 84/126
⇒ x= 2/3
ik this might not make sense but hope this helps
Answer: w has to be less than or equal to 1800 hundred so this (w<1800) but with a less than or equal to sign
Step-by-step explanation: