SOLUTION: I need help evaluating this expression: Log base 10 multiplied to (.01) raised to the 3rd power Thanks Michael V

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Question 17475: I need help evaluating this expression:
Log base 10 multiplied to (.01) raised to the 3rd power
Thanks
Michael V

Answer by bam878s(77) About Me  (Show Source):
You can put this solution on YOUR website!
throughout assume log = log base 10
we know log 1 = 0
why?
because 10%5E0 = 1
From properties of log we know
log x%5En = n log x
so log .01%5E3 = 3 log .01
now we just need to find log .01
note .01 = 1%2F100 = 1%2F%2810%5E2%29 = 10%5E-2
so 10%5E-2 = .01 means that log .01 = -2
so now 3 log .01 = 3 * (-2) = -6
Hope this helps