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3 years ago

6

Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x

equals two hundred and fifty six.

1 answer:

padilas [110]3 years ago

7 0

4^(12-4x)=256 realize that 256 is 4^4 so we really have:

4^(12-4x)=4^4 taking the natural log of both sides

(12-4x)ln4=4ln4 dividing both sides by ln4

12-4x=4 subtract 12 from both sides

-4x=-8 divide both sides by -4

x=2

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3 years ago

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bonufazy [111]

Answer:

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Step-by-step explanation:

From the question we are told that:

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Number of birds $n_b=2$

Number of gerbils $n_g=6$

Number of fish $n_f=3$

Number of hamsters $n_h=3$

Generally the frequency for birds $F_b$ is mathematically given b

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Generally the frequency for Gerbils $F_g$ is mathematically given b

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$F_g=42.9\%$

Generally the frequency for fish $F_f$ is mathematically given b

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Generally the frequency for fish $F_h$ is mathematically given b

$F_h=\frac{n_h}{n}*100$

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3 years ago

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marissa [1.9K]

$a(a-3) =100\\
a^2-3a-100=0\\
\Delta=(-3)^2-4\cdot1\cdot(-100)=9+400=409\\
\sqrt{\Delta}=\sqr{409}\\
a_1=\dfrac{-(-3)-\sqrt{409}}{2\cdot1}=\dfrac{3-\sqrt{409}}{2}\\
a_2=\dfrac{-(-3)+\sqrt{409}}{2\cdot1}=\dfrac{3+\sqrt{409}}{2}$

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