question 1]
log 5 + 16 log(625/6) + 12 log(4/375) + 7 log(81/1250)
 
question 2]
log (a-b)/log 5 = log 4/log1/2 = log a+b/log 2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Asked by Ishita | 27th Oct, 2017, 02:27: PM

Expert Answer:

begin mathsize 16px style equals log 5 plus 16 left parenthesis log 5 to the power of 4 minus log 6 right parenthesis plus 12 left parenthesis log 2 squared minus log space 375 right parenthesis plus 7 left square bracket log 3 to the power of 4 minus log left parenthesis 5 to the power of 4 cross times 2 right parenthesis right square bracket
equals log space 5 plus 64 log 5 minus 16 log left parenthesis 2 cross times 3 right parenthesis plus 24 log 2 minus 12 log left parenthesis 5 cubed cross times 3 right parenthesis plus 28 log 3 minus 7 log left parenthesis 5 to the power of 4 cross times 2 right parenthesis
equals 65 log 5 minus 16 log 2 minus 16 log 3 plus 24 log 2 minus 36 log 5 minus 12 log 3 plus 28 log 5 minus 7 log 2
equals log 5 plus log 2
equals log left parenthesis 5 cross times 2 right parenthesis
equals log 10
equals 1 end style

Answered by Nooren | 4th Dec, 2017, 03:13: PM