Question

(1/5)^x = 1/25

Answer 1

Help? I need to know how to do this. Thanks

Answer 2

Can you show how to do it?

Answer 3

er sorry 2

Answer 4

Can you show me how to do it? thanks

Answer 5

\[(\frac{ 1 }{ 5 })^2 = \frac{ 1^2 }{ 25 }\]

1^2=1 so

Answer 6

doesn't this have to do with logarithms and like e^x?

Answer 7

ah ok your doing that, this one you can do in your head but one sec

Answer 8

Sorry, I haven't done this in a while, but thanks

Answer 9

will let bibby take it from here

Answer 10

Thank you

Answer 11

You can take the ln of both sides such that\[\large \frac{1}{5}^x = \frac{1}{25}\]\[\large ln(\frac{1}{5}^x) = ln(\frac{1}{25})\]\[\large xln{(\frac{1}{5})} = ln(\frac{1}{25})\]\[\large x = \frac{ln(\frac{1}{25})}{ln{(\frac{1}{5})}}\]
x=2

Answer 12

Thanks! I understand it now

Answer 13

you can also use logs doesnt have to be LN

Answer 14

er log with base 10

Answer 15

I don't remember how logs work, but I do remember that when you take the ln of something with a power it comes out as a coefficient