napqueen01
napqueen01 napqueen01
  • 03-11-2019
  • Mathematics
contestada

1.Complete the table. f(x) = e^(-x)

2. Use log 2 = a, log 3 = b to evaluate log (12).


1Complete the table fx ex 2 Use log 2 a log 3 b to evaluate log 12 class=

Respuesta :

rani01654 rani01654
  • 07-11-2019

Answer:

f(-3) = 20.08

f(3) = 0.049

log 12 = 2a + b

Step-by-step explanation:

1. Given that [tex]f(x) = e^{-x}[/tex]

Therefore, [tex]f(-3)=e^{-(-3)} = e^{3} = 20.08[/tex]

Again, [tex]f(3) = e^{-3}=0.049[/tex]

2. [tex]\log 12= \log (4 \times 3)= \log 4 + \log 3 = \log 2^{2} +\log 3 = 2\log 2 +\log 3[/tex] {Since log ab =log a + log b and log a² = 2 log a}

So, [tex]\log 12 = 2a+b[/tex] {Since log 2 =a and log 3 = b given}

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