SOLUTION: Can you help me with the following logarithm and explain how you came to the answer?: log5x = -2

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Question 87285: Can you help me with the following logarithm and explain how you came to the answer?:
log5x = -2

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Can you help me with the following logarithm and 
explain how you came to the answer?:

log5x = -2

You must memorize how to rewrite a log equation as an exponential
equation and vice-versa:

Rule:

The logarithm equation 

logba  = c

and the exponential equation

bc = a

are equivalent and you can always
write one for the other.  

Using that rule:

log5x = -2

can be rewritten as

5-2 = x

Then use the rule for negative exponente
to write 5%5E%28-2%29 as 1%2F5%5E2 and then
write that as +%281%29%2F%2825%29 .

That's the answer 

x = 1%2F25



Edwin