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4 years ago

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Mathematics

1 answer:

Alecsey [184]4 years ago

7 0

Answer:

x = 32/5

Step-by-step explanation:

Given the logarithmic equation,

log2x + log2(x – 6) = 4, to get the equation that can solve the potential solutions to the equation we need to solve the equation by removing all traces of log as shown;

According to the law of logarithm, log a + log b = log(a/b). Applying this to the equation given

log2x + log2(x – 6) = 4,

log2(x/x-6) = 4

Also If log_a b = c, then a^c = b

x/x-6 = 2⁴

x/x-6 = 16

Cross multiplying

x = 16(x-6)

x = 16x-96

x-16x = -96

-15x = -96

x = 96/15

x = 32/5

The solution to the equation is x = 32/5

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A music store gives every 20th costumer a 5$ gift card.Every 50th customer gets a 10$ gift card. Which customer will be the firs

prisoha [69]

Answer:

100th customer is the first desired customer who received both the gift cards.

Step-by-step explanation:

$5 gift card is received by every 20th Customer.

⇒ The customers who receive this $5 card are:

20th Customer, 40th Customer , 60th Customer , 80th Customer, 100th Customer, 120th Customer .... and so on

Also, $10 gift card is received by every 50th Customer.

⇒ The customers who receive this $10 gift are:

50th Customer, 100th Customer , 150th Customer , 200th Customer ......

Among all the customers the 100th customer is the first customer who receives $5 gift card as well as the $10 gift card.

Hence, 100th customer is the first desired customer who received both the gift cards.

6 0

3 years ago

Jose wants to build a rectangular kennel for his dog. His dad will let him use a spot in the corner of the yard that is 12 feet

Varvara68 [4.7K]

The answer is 42 ft 4 in

The perimeter of a rectangle with length l and width w is:
P = 2l + 2w

l = 12 ft 3 in
w = 8 ft 11 in

1 ft = 12 in
l = 12 * 12 in + 3 in = 144 in + 3 in = 147 in
w = 8 * 12 in + 11 in = 96 in + 11 in = 107 in

P = 2 * 147 + 2 * 107 = 294 + 214 = 508 in
P = 508 in = 504 in + 4 in = 42 * 12 in + 4 in = 42 ft 4 in

7 0

4 years ago

Which inequality represents this sentence?

Lynna [10]

The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.

Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

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brainly.com/question/25701252

8 0

3 years ago

)

Slav-nsk [51]

Answer:

length equals to 22 bcoz the width is 13*2=26 and than u do 70 minus 26 to get 44 than divide by 2 to get the length 22

4 0

3 years ago

Given that m and n are parallel, and p is a transversal that is perpendicular to m, give an explanation for why it must also be

IrinaVladis [17]

Answer:

p is perpendicular to n. Proved.

Step-by-step explanation:

See the diagram attached.

Let us assume that mm' and nn' are two straight lines parallel to each other and pp' is a transversal.

It is given that pp' is perpendicular to mm' i.e. ∠po'm = 90°

Now, since mm'║nn' and pp' is a transversal, so, ∠pon = ∠po'm = 90° {Those are corresponding angles}

So, pp' is also perpendicular to nn'. {Proved}

8 0

3 years ago