SOLUTION: I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623. My question is, what is a step-by-step method of replicating that answer without using the built in power

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623. My question is, what is a step-by-step method of replicating that answer without using the built in power      Log On


   



Question 428061: I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623. My question is, what is a step-by-step method of replicating that answer without using the built in power operator (^).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I note in Excel that typing, in a cell =3^.1 gives the result of 1.11623.
My question is, what is a step-by-step method of replicating that answer without using the built in power operator (^).
:
You could use logs
log(3^.1)
:
using the log equiv of exponents
.1*log(3)
:
Find the log of 3 and multiply
.1*.47712125 = .047712125
:
Find the antilog (10^-1 on a calc) of this value and you will get
1.116123, the same value