SOLUTION: If {{{ log( b, u) = v }}} , then complete the following equation, in terms of n and v: {{{ log( b^(1/n) , u ) }}} = ?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If {{{ log( b, u) = v }}} , then complete the following equation, in terms of n and v: {{{ log( b^(1/n) , u ) }}} = ?      Log On


   



Question 362211: If +log%28+b%2C+u%29+=+v+ , then complete the following equation, in terms of n and v:
+log%28+b%5E%281%2Fn%29+%2C+u+%29+ = ?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
b%5Ev=u
.
.
.
y=+log%28+b%5E%281%2Fn%29+%2C+u+%29+
b%5E%281%2Fn%29%5Ey=u
b%5E%28y%2Fn%29=b%5Ev
y%2Fn=v
highlight%28y=nv%29
So then,
log%28+b%5E%281%2Fn%29+%2C+u+%29+=nv