College

If you know that log5 (2) - log5 (12) = 0, which of the following is false?

ол

A log5 (x) = log5 (12)

O Blog (2 - 12) = 0

C log5 (x) = 0

ор.

2 = 12

If you know that log5 2 log5 12 0 which of the following is false ол A log5 x log5 12 O Blog 2 12

Answer :

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.