SOLUTION: Please show how to solve: Log base10(n^2 – 90n) = 3 Thank you

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Question 735204: Please show how to solve:
Log base10(n^2 – 90n) = 3
Thank you

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we have the following
log base 10 (n^2 - 90n) = 3
first take log base 10 of both sides of equal sign and we have,
n^2 - 90n = log base 10 (3) = .48
use quadratic formula and we get (note that b is --90 or 90)
n=(90+square root (90^2-4*1*-.48)) / 2 = 90
=(90-square root (90^2-4*1*-.48)) / 2 = 0