Rewrite the following expression by using the laws of logarithms.

Question

Log₉(*squareroot*Q)

 

A. 2Log₉(Q)

B. Log₉(Q)

C. 1/2Log₂(Q)

D. 1/2+Log₉(Q)

E. 1/2Log₉(Q)

F. None of the above.

Answer 1

log_9 [sqrt(Q)] = log_9 [Q^(1/2)] = (1/2) log_9 (Q)

 

The correct answer is E.

Answer 2

E.   ½Log₉(Q)