Which two values of x are roots of the polynomial below?x²-11x+17

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

NemiM [27]3 years ago

4 0

Answer:

It is E and F

Step-by-step explanation:

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Solve log8 12=x-2. Round your answer to four decimal places.

olganol [36]

Answer:

$\large\boxed{x\approx3.1950}$

Step-by-step explanation:

$\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}$