Jenny explained to Robert that only rational numbers are considered as a set of real numbers. Robert disagreed stating that irrational numbers could also be a set of real numbers explain which student is correct

Robert is correct, irrational numbers are part of real numbers.

Explanation:

In mathematics, numbers are classified into different groups or seats. In the case of real numbers, these are a broad category that includes all numbers that can be represented on a line. Moreover, this category includes smaller categories such as rational numbers, for example, 15, 2.4 or 6/2 that can be represented as fractions, as well as, irrational numbers such as that cannot be fractions. In this context, Jenny is incorrect and Robert is correct because irrational numbers are also real numbers.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: