Question

which of the following is equivalent to the expression below? log3 - log15 A) log(-12) B) log12 C) log(1/5) D) log5 thanks for the help : )

Answer 1

log12 144 = 2

log15 1 = 0

log3 ( 81 ) = 4

log 0.00001 = -5

Explanation:

According to my far to relaxed brain the answer is correct. Please don't be mad at me.

Answer 2

Explanation:

First and foremost, we need to point out that if there is no base written on those logs, it is understood to be a base of 10. The next thing applies to the rules of logs in regards to the subtraction of them. Usually, subtraction and addition "undo" each other. But in logs, subtraction and division undo each other in a sense. The rule is:

`log_bm-log_bn=log_b(m)/(n)`

Following that pattern, our solution, or simplification, of

log(3) - log(15) is

`log_(10)(3)/(15)` which, simplified and omitting the base of 10, is:

`log(1)/(5)` , choice C.