solve for t Log5t2tlog5t2Solutionlog5t2t log5t2 log5t2tt 2 N

solve for t: Log5(t^2+t)-log5(t)=2

Solution

log₅(t²+t) log₅t=2

log₅((t²+t)/t) =2

Now we have to convert it in exponential form

log_ab=c

b=a^c

Therefore

(t²+t)/t=5²

t^2 +t=25t

t^2 -24t=0

t(t-24)=0

t=0,24

log cant take 0. Therefore the correct answer is t=24