All categories

2 years ago

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

1 answer:

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

You might be interested in

Determine the radius, to the nearest inch, of a large can of tuna fish that has a volume of 66 cubic

Mnenie [13.5K]

The radius of can is 2.524 inches

Solution:

Given that large can of tuna fish that has a volume of 66 cubic inches and a height of 3.3 inches

To find: Radius

Given a large can of tuna fish, we know that can is generally of cylinder shape, we can use the volume of cylinder formula,

The volume of cylinder is given as:

$\text{ volume of cylinder}= \pi r^{2} h$$

Where,

"r" is the radius of cylinder

"h" is the height of cylinder

$\pi$ is a constant equal to 3.14

Substituting the given values in above formula,

$66 = 3.14 \times r^2 \times 3.3\\\\66 = r^2 \times 10.362\\\\r^2 = \frac{66}{10.362}\\\\r^2 = 6.369\\\\r = 2.524$

Thus the radius of can is 2.524 inches

4 0

3 years ago

The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.

iren [92.7K]

Answer:

Step-by-step explanation:

S=student cost; T=teacher cost

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50

4 0

3 years ago

The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this

cluponka [151]

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x) Output (y)

6 14

12 15

15 15

25 16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

5 0

2 years ago

- 7(2-1) = 28 The solution is?

Aneli [31]

Answer:

Is there a x somewhere or is that litteraly how the equation is?

If so, -7 multiplied by 2 is -14,

-1 times -7 is 7,

add it together and you get

-7=28,

you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0

which would make the solution false since both sides are not the same

6 0

3 years ago

Joseph owns v video games. Harry owns 10 fewer than two times the number of video games that Joseph owns. Which expression repre

Tomtit [17]

Answer:

$v=30$

Sure hope this helps you

8 0

2 years ago