SOLUTION: {{{-2=log(v, 1/100)}}} I have changed it to {{{v^-2=(1/100)}}} but am stuck as to what to do next. I have used the calculators and am still not able to go further. Thank y

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{-2=log(v, 1/100)}}} I have changed it to {{{v^-2=(1/100)}}} but am stuck as to what to do next. I have used the calculators and am still not able to go further. Thank y      Log On


   

Question 390986: -2=log%28v%2C+1%2F100%29
I have changed it to v%5E-2=%281%2F100%29 but am stuck as to what to do next. I have used the calculators and am still not able to go further.
Thank you!
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,   

good work on changing it to v%5E-2=%281%2F100%29

 Note: 1%2F100+=+10%5E-2  v = 10

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

So far, so good.

Now, remember that a negative exponent in a numerator translates to a positive exponent in the denominator. That is to say:



or, more to the point:



so your equation becomes:



which is to say:



from which we see that



However, since in we know that and , hence we exclude .



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism