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Fittoniya [83]
2 years ago
12

What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)

Mathematics
1 answer:
n200080 [17]2 years ago
8 0

The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)=  \log _66x\\

Take antilog, then we have

\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}

Then the value of the x is 2 and 4.

More about the factorization link is given below.

brainly.com/question/6810544

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11.9 would be the correct answer I believe
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An architect is designing a sandwich shop, as shown in the
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The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

  • 50: 50 25 10 5 1
  • 90: 90 45 30 18 15 10 9 6 5 3 2 1

The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

  • A = lenght x width or width = area / lenght

Kitchen.

  • Width: 50 / 10
  • Width: 5 meters

Dining room:

  • Width: 90 / 10
  • Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

3 0
3 years ago
A line has a slope of -2/5 and passes through the point (10,7) . Write the equation of this line in point-slope form, slope-inte
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(\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{10})

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1 year ago
If using the method of completing the square to solve the quadratic equation
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Answer:

Step-by-step explanation:

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Find the size of each of the unknown angles.
kari74 [83]

Answer:

Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°

Step-by-step explanation:

To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.

180 - 100 = 80

Angle a is 80°.

Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.

After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.

Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.

So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.

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3 years ago
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