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Dmitry_Shevchenko [17]
3 years ago
7

What are the solutions to ^log6(x^2+8)=1+log6(x)

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

x=2

x=4

Step-by-step explanation:

the range is x>0

Move the expression to the left side and change it's sign to get

log6(x^2+8)-log6(x)=1

using loga(x)-loga(y) = loga (x/y) to simplify log6(x^2+8/x)=1

convert it to exponential form to get x^2+8/x=6

multiply both sides of the equation by x to get x^2+8=6x

move variable to the left

x^2-6x+8

factor out x from the expression

x (x-2) -4 (x-2) =0

factor out x-2

(x-2) x (x-4) = 0

set both equal to 0 and get x=2 x=4

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.Step-by-step explanation:

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3 years ago
Solve the system using elimination<br> 3x+y=27<br> -3x+4y=-42
padilas [110]

Hello :)

3x+y=27

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+____________

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Put "-3" for "y" in the system:

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3 years ago
1.The ratio of boys to girls in a homeroom at berkmar middle is 3:4 if there are 12 boys how many girls are there in the homeroo
alexira [117]

Answer:

None of the options are correct, the correct answer is 1,050 boys and 350 girls.

Step-by-step explanation:

A ratio of 3:4 can be turned into a percentage by dividing 3 by 4. This would give us 0.75 or 75%. This means that the remaining 25% (100-75 = 25) are girls in this ratio. If there are 12 boys we can find the total amount by dividing 12 by 0.75 and then multiplying that answer by 0.25 (25%) in order to find the amount of girls in that ratio, like so...

12 * 0.75 = 16 total

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If there are a total of 1,400 students we can find how many are boys and how many are girls by simply multiplying by the percentages.

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1,400 * 0.25 = 350 girls.

Apparently, none of the options are correct, the correct answer is 1,050 boys and 350 girls.

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3 years ago
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3 years ago
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