SOLUTION: Please help I am lost. Simplify:3^4x-8 /3^x+3

Algebra ->  Linear-equations -> SOLUTION: Please help I am lost. Simplify:3^4x-8 /3^x+3      Log On


   



Question 514384: Please help I am lost.
Simplify:3^4x-8 /3^x+3

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Use the principle of dividing exponentials with the same base
by subtracting exponents:
%283%5E%284x-8%29%29%2F%283%5E%28x%2B3%29%29
Put both exponents in parentheses:
%283%5E%28%284x-8%29%29%29%2F%283%5E%28%28x%2B3%29%29%29
Divide by subtracting exponents, keeping the base 3
3%5E%28%284x-8%29-%28x%2B3%29%29
Simplify the exponent by removing parentheses
3%5E%284x-8-x-3%29
Combine like terms in the exponent:
3%5E%283x-11%29
Edwin