SOLUTION: Solve for x a) log(base 6)4 +2log(base 6)v = 2 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x a) log(base 6)4 +2log(base 6)v = 2 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)      Log On


   

Question 752315: Solve for x
a) log(base 6)4 +2log(base 6)v = 2
Can you please help me out? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for v
a) log(base 6)4 +2log(base 6)v = 2
log%286%2C%284%29%29%2B2log%286%2C%28v%29%29=2
log%286%2C%284v%5E2%29%29=2
convert to exponential form: base(6) raised to log of number(2)=number(4v^2)
6^2=4v^2
v^2=36/4=9
v=±√9=±3