The correct question is
What is the value of x in the following equation (1/5)^x=5^8
Applying logarithms both members
log(1/5)^x=log(5^8)
x*log(1/5)=8*log(5)
x=8*log(5)/log(1/5)
we know that
log (1/5)----> log (1)-log (5)----> 0-log (5)-----> -log (5)
so
x=8*log(5)/-log (5)------> x=-8
the answer is
-8
Answer: this is the answer
( {x}^{3} ) {}^{ - 5} = {x}^{ - 15}
Step-by-step explanation:
First get like things on the same side:
-5/6b - 1/2b= -2/3 - 3/4
Then find equivalent fractions to make the equation easier to solve.
-5/6b - 3/6b= -8/12 - 9/12
Then just add things together and solve.
-8/6b= -17/12
-8b= 6(-17/12)
-8b= -17/2
b= (-17/2)/-8
b= 17/16
You can then plug the answer back into the original question to make sure it is the correct answer.
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.
