How do you condense #ln 8 + 2ln 5 - ln 10#?
1 Answer
May 31, 2016
ln20
Explanation:
Using the following
#color(blue)"laws of logarithms"#
#•logx+logy=log(xy).........(1)#
#•logx-logy=log(x/y).........(2)#
#•logx^nhArrnlogx...........(3)# using (3) :
#2ln5=ln5^2=ln25# using (1) :
# ln8+ln25=ln(8xx25)=ln200# using (2) :
#ln200-ln10=ln(200/10)=ln20#
