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Contact [7]
2 years ago
13

Explain how solve 4^(x+3) = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for

x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
MaRussiya [10]2 years ago
4 0

Answer:

-1.596

Step-by-step explanation:

Apply log base 4 both sides

log4(4^(x+3)) = log4(7)

(x+3)log4(4) = lg7/lg4

x+3 = 1.403677461

x = -1.596322539

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
Fittoniya [83]

The wrestler gained 5.20 kilograms per month.

Step-by-step explanation:

Let,

x be the weight gained every month.

y be the original weight before weight gain.

According to given statement;

0.5x+y=80.6   Eqn 1

2x+y=88.4    Eqn 2

3.5x+y=96.2    Eqn 3

Subtracting Eqn 1 from Eqn 2

(2x+y)-(0.5x+y)=88.4-80.6\\2x+y-0.5x-y=7.8\\1.5x=7.8

Dividing both sides by 1.5

\frac{1.5x}{1.5}=\frac{7.8}{1.5}\\x=5.20

The wrestler gained 5.20 kilograms per month.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4459688
  • brainly.com/question/4460262

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
Apply the distributive property to the expression 24x + 18y to produce the equivalent expression.
ryzh [129]

Answer:

6(4x+3y)

Step-by-step explanation:

24 and 18 have a HCF of 6, so yeah

6 0
2 years ago
Help me asap
pogonyaev

Answer:

6J = 72

Step-by-step explanation:

Because it says the product, it is talking about multiplication.

J would be Jamelle's age

6 is the excess number given.

72 is the answer

thus it would be 6*J or 6J = 72

4 0
2 years ago
Read 2 more answers
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.
frosja888 [35]

Answer:

Question 1:  4/5 or %80

Question 2:  7/10 or %70

Step-by-step explanation:

<u>Step 1:  Find the total amount of marbles</u>

5 + 2 + 3

<em>10</em>

<em />

<u>Step 2:  Find the probability of not drawing a black marble</u>

Add the total amount of marbles that are not black

5 + 3

<em>8</em>

<em />

Now find the probability:  

8/10

4/5 or %80

Answer:  4/5 or %80

<u>Step 3:  Find the probability of not drawing a red marble</u>

Add the total amount of marbles that are not red

5 + 2

<em>7</em>

<em />

Now find the probability:

7/10 or %70

Answer:  7/10 or %70

3 0
3 years ago
A recipe calls for 2 cups flour and 1 1/2 cup milk to make seven servings. Ming has plenty of​ flour, but only 5 cups of milk. H
Hoochie [10]

Answer:

21 or 23 servings.

Step-by-step explanation:

7 0
2 years ago
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