Question

What is log(21/x²) written in expanded form?

A. log 21−2 log x

B. 2 log x−log 21

C. 2 log 21−log x

D. log x−log 21+2

Answer 1

The expanded form of log(21/x²) is log(21) - 2 log(x).

Step-by-step explanation:

To expand the expression log(21/x²), we can utilize the logarithmic properties. We know that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and the denominator. Therefore, log(21/x²) can be expanded as log(21) - log(x²). Since the logarithm of x² is equivalent to 2 times the logarithm of x, we can further simplify the expression to log(21) - 2 log(x).