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Crank
3 years ago
15

Which of the following shows the true solution to the logarithmic equation below ? Log(x)+log(x+5)=log(6x+12)

Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0
The equation can be rewritten as: Log(x*(x+5))=Log=(6x+12)
so x(x+5)=6x+12
x^2+5x=6x+12
x^2-x-12=0
(x+3)(x-4)=0
x=-3 or x=4
x cannot be negative here, so x=4 is the only solution 
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What's the slope of this line? Enter the answer as a fraction in simplest term in the box.
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10. The sum of two numbers is 6 less than twice the first number. Their difference is 10 less than four times the second number.
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Answer:

10 and 4.

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 2x - 6

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x = 5y - 10

(5y - 10) + y = 2(5y - 10) - 6

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3 0
3 years ago
What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 ove
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The length of the radius will be 22 units.

<h3>What is the radius?</h3>

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )

By solving the above equation we get

r=(\dfrac{18997}{864} )

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Hence the length of the radius will be 22 units.

To know more about radius follow

brainly.com/question/24375372

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2 years ago
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