SOLUTION: Use properties of logarithms to evaluate the expression. 100^log10^6

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Question 1104363: Use properties of logarithms to evaluate the expression.
100^log10^6
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
100 ^ (log(10^6)) is equal to 100 ^ (6 * log(10)) which is equal to 100 ^ 6.

that's because log(10) = 1 and 6 * log(10) = 6 * 1 = 6.

that's your solution.

if you use your calculator to find 100 ^ (log(10^6)), it will tell you that the result is 1 * 10 ^ 12.

1 * 10 ^ 12 is the same as 10 ^ (2 * 6) which is the same as (10 ^ 2) ^ 6 which is the same as 100 ^ 6.