solve for t

[lunar spade]

ln(LHS) = ln(RHS)
ln(500) + 1.4(ln(2)/5)t = ln(1000) + (ln(2)/5)t
1.4(ln(2)/5)t - (ln(2)/5)t = ln(1000) - ln(500)
t(1.4ln(2)/5 - ln(2)/5) = ln(2)
t = ln(2)/(0.4ln(2)/5)
t = 5ln(2)/0.4ln(2)
t = 5/0.4
t = 25/2

Ye

Thought it would be

Mb

Idk if this is much better