Question

Which of the following expressions is equivalent to the one shown below? 2log, 12-log 4 + log 3 O A. 2log, 11 O B. 2log, 12 O c. log 23 , O D. log, 108

Answer 1

Given:

$2\log _212-\log _24+\log _23$$2\log _212-\log _24+\log _23=\log _212^2-\log _24+\log _23$$2\log _212-\log _24+\log _23=\log _2\lbrack\frac{144\times3}{4}\rbrack$$2\log _212-\log _24+\log _23=\log _2\lbrack108\rbrack$

Option D is the correct answer.