SOLUTION: If 7^-x= 1/4, what does 49x equal?

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Question 362446: If 7^-x= 1/4, what does 49x equal?
Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is -1/16..
Observe..
+7%5E%28-x%29+=+1%2F4+ and you want to solve +49%5Ex+ where we can write it as +7%5E2%5Ex+ and also as+7%5Ex%5E2+ and also as+7%5E%28-x%29%5E%28-2%29+
If you give a name to +7%5E%28-x%29+ as "a"
We'll have +a%5E%28-2%29+
If +a+=+1%2F4+ >> so +%281%2F4%29%5E%28-2%29+ equals to +-1%2F16+
RF.