Posted by Ed on .
Find the value of the following.
10^(10log3)
The log exponent is confusing me. Could someone please help me? Thanks.

Math 
bobpursley,
10log3= log3^10= log (1/3^10)
so 10^(log(1/3^10)= 1/3^10
Here is an unconfusing explanation.
log100=2
so 10^2=l0^(log100) by definition. 
Math 
Reiny,
Have you come across the property of logs that says ..
a^log_{a} k = k
your question fits that pattern after a quick adjustment
10^(10log3)
= 10^(log 3^(10))
= 3^10
= 1/3^10 , so far no calculator
= appr. .000016935
check:
log3 = .47771213
10log3 = 4.771213
10^4.771213 = .00016935 
Math 
Ed,
Thanks!