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#