Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)

a. x= -7
b. x= -3
c. x= 3 and x= -7
d. x=7 and x= -3

The correct option is C, i.e., x=3 and x=-7.

Explanation:

The given equation is,

Using product property of logarithm

On comparing both sides,

Using grouping method 4x can be written as (7x-3x). Because the product of 7 and -3 is equal to the constant term -21 and the addition of 7 and -3 is equal to the coefficient of x.

Equate each factor equal to 0.

The value of x is 3 and -7. Therefore, the option C is correct.

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

the answer is a

step-by-step explanation:

39.00 x 24 = total installment price

carrying installment price - cash price

needed to save the .00/