Answer with Step-by-step explanation:
Let F be a field .Suppose
and 
We have to prove that a has unique multiplicative inverse.
Suppose a has two inverses b and c
Then,
where 1 =Multiplicative identity

(cancel a on both sides)
Hence, a has unique multiplicative inverse.
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer:
a and c = 115 and b and d = 65
Step-by-step explanation:
Hope this helps :)
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:

Then subtract 3 from both sides of the equation.

The divide both sides by 2.

Another solution is possible because of the absolute value.
If 
Then 
<em>Thus we can solve the second solution:</em>


Isolate P again by subtracting both sides by 3


Then divide both sides by 2:


Answer:
110 fence posts
Step-by-step explanation:
102÷6=17
multiply by 2 = 34
330÷6=55
multiply by 2=110
add together= 144 fence posts