SOLUTION: Solve Equation Logarithm {{{log(4,x)+log(4,x-3)=1}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve Equation Logarithm {{{log(4,x)+log(4,x-3)=1}}}      Log On


   

Question 931629: Solve Equation Logarithm
log%284%2Cx%29%2Blog%284%2Cx-3%29=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C%28x%29%29%2Blog%284%2C%28x-3%29%29=1
log%284%2C%28x%29%28x-3%29%29=1
x%28x-3%29=4
x%5E2-3x=4
x%5E2-3x-4=0
%28x-4%29%28x%2B1%29=0
Two solutions but only the positive solution works with the log function.
x-4=0
x=4