SOLUTION: Show every step. This is a proof! If {{{log(b,x) = (1/2)log(b,v) + (3)}}} , show that {{{x = (b^3)sqrt(v)}}}

Algebra ->  Proofs -> SOLUTION: Show every step. This is a proof! If {{{log(b,x) = (1/2)log(b,v) + (3)}}} , show that {{{x = (b^3)sqrt(v)}}}      Log On


   

Question 1130042: Show every step. This is a proof!
If log%28b%2Cx%29+=+%281%2F2%29log%28b%2Cv%29+%2B+%283%29 , show that x+=+%28b%5E3%29sqrt%28v%29
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If log%28b%2Cx%29+=+%281%2F2%29log%28b%2Cv%29+%2B+%283%29 , show that x+=+%28b%5E3%29sqrt%28v%29

log%28x%29%2F+log%28b%29=+%28log%28v%5E%281%2F2%29%29%2Flog%28b%29%29+%2B+3...........change the base

log%28x%29=%28log%28b%29%2Alog%28v%5E%281%2F2%29%29%29%2Flog%28b+%29%2B+3log%28b%29





log%28x%29=log%28v%5E%281%2F2%29%29%2B+log%28b%5E3%29

log%28x%29=log%28%28v%5E%281%2F2%29%2Ab%5E3%29%29

x=v%5E%281%2F2%29%2Ab%5E3

x=b%5E3%2Asqrt%28v%29