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devlian [24]
3 years ago
6

What is equivalent to this equation 4^x+3=64

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer: 2^{(2x+6)}=2^6


Step-by-step explanation: We are given an exponential equation

4^{x+3}=64.

We need to convert it into it's equivalent equation.

Let us factor 4.

4 = 2 × 2

Therefore, 2 × 2 could be written as (2)^2.

Now, let us factor 64 in terms of 2's.

64 = 2 × 2× 2× 2× 2× 2 = 2^6.

Replacing 4 by 2^2 and 64 by 2^6 in original equation, we get

2^2^{(x+3)}=2^6

Distributing 2 over (x+3), we get

2^{(2x+6)}=2^6


Umnica [9.8K]3 years ago
4 0
<span><span> x-4/x3-64</span> </span>Final result :<span> x4 - 64x3 - 4 ————————————— x3 </span>
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3 years ago
WILL GIVE BRAINLIEST
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A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

<u>Part A:</u> To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

Learn more about the system of equations on:

brainly.com/question/13729904

#SPJ1

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