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Alex
3 years ago
10

1.Complete the table. f(x) = e^(-x) 2. Use log 2 = a, log 3 = b to evaluate log (12).

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

f(-3) = 20.08

f(3) = 0.049

log 12 = 2a + b

Step-by-step explanation:

1. Given that f(x) = e^{-x}

Therefore, f(-3)=e^{-(-3)} = e^{3} = 20.08

Again, f(3) = e^{-3}=0.049

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

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

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