SOLUTION: the equation i have is {{{ log( r, -107/64 = 6) }}} . i'm not sure how to set it up so that i can find the r base of the log.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: the equation i have is {{{ log( r, -107/64 = 6) }}} . i'm not sure how to set it up so that i can find the r base of the log.      Log On


   

Question 24831: the equation i have is +log%28+r%2C+-107%2F64+=+6%29+ . i'm not sure how to set it up so that i can find the r base of the log.
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
the equation i have is +log%28+r%2C+-107%2F64+=+6%29+   .
i'm not sure how to set it up so that i can find the r base of the log.

     107
logr————— = 6
      64

Use this rule of logarithms to rewrite that equation

logBA = C means the same thing as BC = A

      107
r6 = —————
       64

Taking positive sixth roots of both sides:


      ___
    6Ö107
r = —————
      2

Edwin
AnlytcPhil@aol.com