SOLUTION: If log(3x-1)-log2=3,what us the value of x THANK YOU

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If log(3x-1)-log2=3,what us the value of x THANK YOU      Log On


   

Question 1009826: If log(3x-1)-log2=3,what us the value of x
THANK YOU
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%283x-1%29%29-log%28%282%29%29=3

What base, b ?

log%28%28%283x-1%29%2F%282%29%29%29=3

b%5E3=%283x-1%29%2F2

2b%5E3=3x-1

3x=1%2B2b%5E3

x=%282b%5E3%2B1%29%2F3
You must know the log base to finish for a value of x.