SOLUTION: find x for the following equation:
log[base5](5/x)= 3 + log[base5](x)
I know the answer is x=.2 but I don't understand how that is the answer on the online tutorials I'm work
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-> SOLUTION: find x for the following equation:
log[base5](5/x)= 3 + log[base5](x)
I know the answer is x=.2 but I don't understand how that is the answer on the online tutorials I'm work
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Question 759371: find x for the following equation:
log[base5](5/x)= 3 + log[base5](x)
I know the answer is x=.2 but I don't understand how that is the answer on the online tutorials I'm working on. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! log[base5](5/x)= 3 + log[base5](x)
log[base5](5/x) - log[base5](x) = 3
log[base5]((5/x)/(x)) = 3
log[base5](5/x^2) = 3
5/x^2 = 5^3
1/x^2 = 5^2
1/x^2 = 25
x^2 = 1/25
x = 1/5
x = .2
