Question 1016228
Well you cannot get an exact value...you can start to estimate by looking at the equivalent exponential expression:
3^x = 100
We know 3^4 = 81 and 3^5 = 243 and we can interpolate to get an estimate...we can also use differentials to get an estimate but getting an exact value is impossible...
Thus a fair starting estimate is about 4 19/142, or about 4.15...
We can solve the above as well and get
x log 3 = log 100
x = 2 /.48 = 4.167  which is a bit better...