SOLUTION: Solve: log(base 2) x + log(base 6) x =3 Please show steps. thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve: log(base 2) x + log(base 6) x =3 Please show steps. thanks      Log On


   

Question 594684: Solve:
log(base 2) x + log(base 6) x =3
Please show steps. thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
log(base 2) x + log(base 6) x =3
Please show steps.
**
convert to log(base 2)
log2(x)+log2(x)/log2(6)=3
place under single log
log2[(x^2/log2(6)]=3
convert to exponential form:
2^3=x^2/log2(6)=8
x^2=8*log2(6)
using calculator:
x=√(8*log2(6))≈20.68
x≈4.55