Question 816980
600 = 300*log(5t+2)
600/300 = 300*log(5t+2) / 300
 2 = log(5t+2)
 {{{log((5t+2))/log(10) = 2}}}
multiply each side by log(10)
{{{log((5t+2)) = 2*log(10)}}}
{{{log((5t+2)) = log((10^2))}}}
{{{log((5t+2)) = log((100))}}}
Take exponential on each side
{{{5t+2 = 100}}}
{{{5t = 98}}}
{{{t = 98/5}}} so  {{{t = 19+3/5}}}