Algebra 2 solving for t using log? 10^5t=2

Question

10^5t=2

 

a) t=2/5

b) t=log4 64

c)t=5log2

d) t=log2/5

 

Answer 1

log 10^5t = log 2

5t log 10 = log 2

5t = log 2

t = log2 / 5

Answer 2

Just like how Mark M. did it. Just want to say that log is being used because this is log to the base 10 which is an inverse of exponential base 10. That is why we use log and not ln or log to some base other than 10