Posted by **Nathaniel** on Sunday, March 17, 2013 at 11:52pm.

10^(-10log3)

How to solve this???

- math -
**Reiny**, Monday, March 18, 2013 at 12:18am
one of the log properties is .

a^(log_{a} k )

= k

we have that case, if we change

10^(-10log3)

to

10^(log 3^-10)

we get 3^-10 = 1/59049 ---> exact answer

or .000016935

( if I use my calculator

10^(-4.771212547)

= .000016935

- math -
**Nathaniel**, Monday, March 18, 2013 at 12:49am
do u know how I could find this in a way that creates a fractional form?

- math -
**Steve**, Monday, March 18, 2013 at 10:56am
As Reiny noted,

3^-10 = 1/59049

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