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}

Answer Link

Otras preguntas

the increase in the earth's temperature caused by heat energy trapped because of the greenhouse effect is referred to as _____. ozone pollutants smog global war
What effect did akbar's death have on the mughal empire in india?
a projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. the path of the projectile is modeled using the equation
Why did some residents in new netherland welcome the british takeover of their colony?
Meaning of battle sweat
As soon as macbeth commits murder, the weight of his conscience becomes almost _
what is the value of the expression 22 62 ÷ 22? 10 13 16 36
calculate 42kg of 105kg as a percentage
8) What many atoms are in 100 grams of of Mgo?
a circle has a radius of 12 and a center at(-7,4) . find the equation of the circle. a. x^2 y^2=3.46 b. (x 7)^2 (y-4)^2=144 c. (x-7)^2 (y-4)^2=144 d. (x-4)^2 (y