Homework Help: math

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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