Question

(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above

Answer 1

Answer:

Step-by-step explanation:

Answer:

C.D.E.F

Step-by-step explanation:

log(A\sqrt{B}) \log(A^2)

A. \log(A) - 2\log(B) \log(A^2)  

Answer A is wrong  because sqrt is denoted by  1/2  and the coefficient of log B is 2 not 1/2

B. \frac{\log(A)\log(B)}{2} 2\log(A)

Answer B is wrong because  2 is multiplied by B instead of 1/2

C.\log(A) \frac{1}{2}\log(B) \log(A^2)

Answer C is correct because  1/2  is multiplied by log B

D. \log(A^{3}) \frac{1}{2}\log(B)

Answer D is also correct  because  1/2  is multiplied by log B

E. 3\log(A) \frac{1}{2}\log(B)

Answer E is also correct because  3  is co efficient of log A

F. \log(A^3\sqrt{B})

This is correct. Here the log is applied to the given fraction