Remember that (t/418) is an exponent....we can't just bring it down as a multiplier
Note the difference ...... 3^2 = 9 ....but.... 3 * 2 = 6 ......not the same!!!!
0.65=100(0.5)^(t/418) it's easiest to divide everything by 100, first
.65 / 100 = (1/2)^(t/418)
.0065 = (1/2)^(t/418) we heve an exponent....to get rid of this, take the log of both sides
log (.0065) = log(1/2)^(t/418)
We have a property that says that log (a)^b = b *log (a)
So....we can bring the exponent out front of the log as a multiplier
log (.0065) = (t/418) * log(1/2) divide by log (1/2) on both sides
log (.0065) / log (1/2) = t /418 mutliply both sides by 418
418 * log (.0065) / log (1/2) = t ≈ 3036.914
