SOLUTION: please help me solve this equation {{{log81(x+2)-log81(x/3)=1/2 and the x/3 is a fraction also 1/2 thank you so much!!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: please help me solve this equation {{{log81(x+2)-log81(x/3)=1/2 and the x/3 is a fraction also 1/2 thank you so much!!      Log On


   



Question 842908: please help me solve this equation
please+help+me+solve+this+equation%0D%0Alog81(x+2)-log81(x/3)=1/2
and the x/3 is a fraction also 1/2 thank you so much!!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log%2881%2C%28x%2B2%29%29-log%2881%2C%28x%2F3%29%29=1%2F2
log%2881%2C%28x%2B2%29%2F%28x%2F3%29%29=1%2F2
convert to exponential form:
81^(1/2)=(x+2)/(x/3)
(x+2)/(x/3)=9
x+2=3x2x=2
x=1