Question

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

Answer 1

B

Explanation:

A is correct because
`log_5(12)` 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
`log_bM-log_bN=log_b((M)/(N) )`

so
`log_5(x)-log_5(12)=log_5((x)/(12) )` is correct

D is correct because using the fact that
`log_5x=log_512` it is easy to figure out that x=12

For B, there is no property supporting that statement.