SOLUTION: If f(x) = 7^x and f(x+3) -f (x+2) + f(x) = mf (x-1), then what is the value of m

Algebra ->  Finance -> SOLUTION: If f(x) = 7^x and f(x+3) -f (x+2) + f(x) = mf (x-1), then what is the value of m      Log On


   

Question 1205663: If f(x) = 7^x and f(x+3) -f (x+2) + f(x) = mf (x-1), then what is the value of m
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if f%28x%29=7%5Ex+ and
f%28x%2B3%29-f%28x%2B2%29%2Bf%28x%29=mf%28x-1%29 then what is the value of m
first find following:
f%28x%2B3%29=7%5E%28x%2B3%29=7%5Ex%2A7%5E3=343%2A7%5Ex
f%28x%2B2%29=7%5E%28x%2B2%29=7%5Ex%2A7%5E2=49%2A7%5Ex
f%28x-1%29=7%5E%28x-1%29=7%5Ex%2A7%5E%28-1%29=7%5Ex%2F7
plug in
f%28x%2B3%29-f%28x%2B2%29%2Bf%28x%29=mf%28x-1%29+
343%2A7%5Ex-49%2A7%5Ex%2B7%5Ex=m%2A%287%5Ex%2F7%29
295+%2A7%5Ex=m%2A%287%5Ex%2F7%29.....both sides multiply by 7
7%28295+%2A7%5Ex%29=m%2A%287%5Ex%29
2065%2A7%5Ex=m%2A%287%5Ex%29.....both sides divide by 7%5Ex
m=2065