twenty-five thousand six hundred and seventy-eight
Answer:
Is irrational
Step-by-step explanation:
Let
be a rational number, and
be an irrational number. If their sum were rational, say
, then we'd have

but
is the difference between two rational numbers, and thus a rational number. But it also equals
, which is irrational by hypothesis. Since we have a contradiction, we conclude that the sum of a rational and an irrational can't be rational.
The correct answer is 556
Answer:
Option C.
Step-by-step explanation:
The given logarithmic equation is
It can be written as
Now, to check whether
is a true solution or not. Substitute
in the LHS of given equation.
Hence,
is a true solution because
.
Therefore, the correct option is C.