SOLUTION: i need to find the value of x here and i really need your help... i need the answer today before 6-9 in the morning... thanks... (4^(x-1))*(3^(x+2))=12^4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: i need to find the value of x here and i really need your help... i need the answer today before 6-9 in the morning... thanks... (4^(x-1))*(3^(x+2))=12^4      Log On


   

Question 53296: i need to find the value of x here and i really need your help... i need the answer today before 6-9 in the morning... thanks...
(4^(x-1))*(3^(x+2))=12^4
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
You must be in a different time zone than I am. I hope this gets to you in time.
4%5E%28x-1%29%2A3%5E%28x%2B2%29=12%5E4
ln%284%5E%28x-1%29%2A3%5E%28x%2B2%29%29=ln%2812%5E4%29
ln%284%5E%28x-1%29%29%2Bln%283%5E%28x%2B2%29%29=ln%2812%5E4%29
%28x-1%29ln%284%29%2B%28x%2B2%29ln%283%29=ln%2812%5E4%29
xln%284%29-ln%284%29%2Bxln%283%29%2B2ln%283%29=ln%2812%5E4%29

xln%284%29%2Bxln%283%29=ln%2812%5E4%29%2Bln%284%29-ln%283%5E2%29
x%28ln%284%29%2Bln%283%29%29=ln%2812%5E4%2A4%2F%283%5E2%29%29
x%28ln%284%29%2Bln%283%29%29=ln%289216%29

x=ln%289216%29%2F%28ln%284%29%2Bln%283%29%29
x=9.128696383%2F2.48490665
x=3.673656646
Round it off to whatever your teacher wants.