bbsdadhikari
bbsdadhikari bbsdadhikari
  • 01-06-2022
  • Mathematics
contestada

(c) If f(x) = a^x , then show that f(m +n + p) = f(m). f(x). f(p)​

Respuesta :

loneguy
loneguy loneguy
  • 01-06-2022

[tex]\text{Given that,}~\\\\f(x) =a^x\\\\\text{L.H.S}\\\\=f(m+n+p)\\\\=a^{m+n+p}\\\\\text{R.H.S}\\\\=f(m) \cdot f(n) \cdot f(p)\\\\=a^m \cdot a^n \cdot a^p\\\\=a^{m+n+p}\\\\ \text{L.H.S} = \text{R.H.S}\\\\\text{Proved.}[/tex]

Answer Link

Otras preguntas

$100 is deposited in the bank at 5% interest compounded continuously. What will be the average value of the money in the account during the next 20 years?
List and define 3 different systems of stratification in society
Transcontinental airlines maintains a computerized forecasting system to forecast the number of customers in each fare class who will fly on each flight in orde
Let s be the part of the sphere x2 + y2 + z2 = 100 that lies above the plane z = 6. let s have constant density k. (a) find the center of mass.
When applied to a drug, the word ergogenic means "energy-producing."?
Someone help me please
which speed is the fastest: A. 18 feet in 20 minutes B. 90 feet in 2.5 hours X. 20 feet in 1.5 hours D. 3 2/3 feet in 15 minutes Show your work
"which mode of transportation would cost the least per ton mile?"
Identify the property used in each step of solving the inequality 7x+4<46
The best capital budgeting method for ranking investment projects of different dollar amounts is the