What is the solution of #log(2t+4) = log(14-3t)#?
1 Answer
Jul 6, 2016
t = 2
Explanation:
Making use of the following
#color(blue)"law of logarithms"#
#color(red)(|bar(ul(color(white)(a/a)color(black)(loga=logbrArra=b)color(white)(a/a)|)))# Thus for log(2t + 4 ) = log(14 - 3t) we have
#color(red)"2t+4=14-3t"# and solving
#5t=10rArrt=2#