shresthaasmita1238
shresthaasmita1238 shresthaasmita1238
  • 12-08-2021
  • Mathematics
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If f(x)= 9^x then prove that f(m+n+p) = f(m).f(n).f(p)​

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badtestbot28 badtestbot28
  • 12-08-2021

Answer:

f(x)=9^(x)

Plugging in m+n+p=x, we have

f(m+n+p) = 9^(m+n+p)

Using the properties of exponential a^(b+c) = a^b*a^c, we have

f(m+n+p) = 9^(m)*9^(n)*9^(p)

f(m+n+p) = f(m)*f(n)*f(p)

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