SOLUTION: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking.

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Question 44931This question is from textbook Algebra and Trigonometry with Analytic geometry
: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking. This question is from textbook Algebra and Trigonometry with Analytic geometry

Found 3 solutions by venugopalramana, Chris435435, atif.muhammad:
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website!
Find the number
let x = log5(1/5).
hence 5^x=1/5=5^-1
hence x=-1
my answer is -1 but not sure...PERFECT 100% OK. thanks for checking.

Answer by Chris435435(8)   (Show Source):
You can put this solution on YOUR website!
That's correct. If your having trouble understanding logarithms, then maybe thinking of it this way will help..
When you have log5(1/5), this means ... what do I have to raise 5 to in order to obtain 1/5. In this case you have to raise 5 to the -1 power in order to get 1/5.
Another example is log2(8), this means ... what do I have to raise 2 to in order to obtain 8. I have to raise it to 3. So, the equation is the following,
log2(8) = 3

Answer by atif.muhammad(135)   (Show Source):
You can put this solution on YOUR website!

Yes, you're right. Well done!