1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pochemuha
3 years ago
9

"2^{4x + 14} = {64}^{x + 2} " alt="2^{4x + 14} = {64}^{x + 2} " align="absmiddle" class="latex-formula">
helpppppppppppppppp​
Mathematics
2 answers:
frutty [35]3 years ago
8 0

\\ \rm\longmapsto 2^{4x+4}=64^{x+2}

\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}

\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}

\\ \rm\longmapsto 4x+4=6(x+2)

\\ \rm\longmapsto 4x+4=6x+12

\\ \rm\longmapsto 4-12=6x-4x

\\ \rm\longmapsto -8=2x

\\ \rm\longmapsto x=\dfrac{-8}{2}

\\ \rm\longmapsto x=-4

stepladder [879]3 years ago
8 0

Answer:

x = 1

Step-by-step explanation:

{2}^{4x + 14}  =  {64}^{x + 2}

➡️ {2}^{4x + 14}  = ( {2}^{6}  {)}^{x + 2}

➡️ {2}^{4x + 14}  =  {2}^{6x + 12}

➡️ 4x + 14 = 6x + 12

➡️ 14 - 12 = 6x - 4x

➡️ 2x = 2

➡️ x = 1

You might be interested in
Given the function below, what value will result in f(x)=10?<br> f(x)=1/2x+8
nignag [31]
10 = 1/2x + 8
2 = 1/2x
X = 4
5 0
3 years ago
Read 2 more answers
The scale of a map is 1:10000.Work out the distance between two banks on the map if the real distance is 600meters.​
sveta [45]

Answer:

6 meters.

Step-by-step explanation:

The scale of a map is 1:10000

The real distance between two banks is 600 meters.

We are to find the distance between the two banks on the map.

This scale means that for every 1 meter on the map there are 10,000 meters on the real world.

So 600 meters on the real world would be represented by;

Cross-multiplying gives:

\frac{600}{10000}  * 100 = 6 meters.

4 0
3 years ago
Read 2 more answers
A small telescope magnifies
WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

  • small telescope = 150 times
  • large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
Combine Like Terms: x^2 + y^2 + 3y^2 + 4x + 2x + 2 + 2
Serga [27]

Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

8 0
3 years ago
Jill is trying to find the area of football field with the track around it at her high school. It is composed of a rectangular m
Vaselesa [24]
I am pretty sure it is B or C I think B
7 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how making a table helps to compare two or more sets of data that have been presented in different ways.
    13·2 answers
  • What is 2 times 3 hfhh
    8·2 answers
  • What would be the answer to this question?
    5·1 answer
  • Show me number line for 8+x &lt;12
    9·1 answer
  • Please help with this question
    7·2 answers
  • One batch of walnut muffins uses 1 1/3 cup of walnuts.How many cups of walnuts are needed to make 3 3/4 batches of muffins?
    10·1 answer
  • The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen t
    12·2 answers
  • Help please please - can u
    7·1 answer
  • What is constant of proportionality ? y=14x k=?​
    14·1 answer
  • (-9) ÷(-2)=? Please help​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!