560/100=a^17
We can write this as
28/5 = a^17 take the log of both sides
log(28/5) = log a^17 and we can write
log(28/5) = 17 log a divide by 17 on both sides
log(28/5)/17 = log a and exponentially, we have
10log(28/5)/17 = a = about 1.10665