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
WINSTONCH [101]
3 years ago
9

Solve the linear equation:

title="4^{2x+7} = 8^{2x-3}" alt="4^{2x+7} = 8^{2x-3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
g100num [7]3 years ago
8 0

Answer:

  x = 11.5

Step-by-step explanation:

Taking the logarithm base 2 will transform this to a linear equation.

  2(2x+7) = 3(2x -3)

  0 = 3(2x -3) -2(2x +7) . . . . subtract the left side

  0 = 2x -23 . . . . . . . . . . . . . simplify

  0 = x - 23/2 . . . . . . . . . . . . divide by 2

  11.5 = x . . . . . . . . . . . . . . . . add 11.5

The solution is x = 23/2 = 11.5.

_____

<em>Check</em>

This value of x makes the equation become ...

  4^(2·23/2 +7) = 8^(2·23/2 -3)

  4^30 = 8^20 . . . . . true

You might be interested in
7176 rounded to 1 significant figure
kati45 [8]

Answer:

7000

Step-by-step explanation:

8 0
3 years ago
Select the appropriate linear equation for the trend line.
Maksim231197 [3]

Answer:

A y = x + 1

Step-by-step explanation:

The line starts at 1 on the y-axis so the u intercept will be 1

4 0
2 years ago
Read 2 more answers
Identify the values of a, b, and c that make the
AVprozaik [17]

Answer:

a = 2

b = 6

c = 64

7 0
3 years ago
Read 2 more answers
David has zero fewer pears than Amy. Amy Has five pears. How many pears does david have?
Mariana [72]
He has ZERO fewer than Amy. That's actually another way of saying that he has the same amount as Amy.

since Amy has 5 pears, David also has 5 pears.
5 0
3 years ago
Read 2 more answers
Which characteristics best describe the undefined concept?
never [62]
Line. A line would have a length but has no width
4 0
3 years ago
Other questions:
  • Would you measure the length of a bench in centimeters or in meters. explain you choice
    12·2 answers
  • I need help with the 1st question I dont really understand it
    5·1 answer
  • Need help on #15 don't want to fail
    11·1 answer
  • Write programs with loops that compute
    13·1 answer
  • Can you please Help!!! READ THE QUESTION CAREFULLY. Extra points and brainiest will be given.
    14·1 answer
  • Slade draws triangle PQR. He then constructs a perpendicular bisector from vertex P that intersects side QR at point T. What can
    7·2 answers
  • Given:
    6·2 answers
  • There are about 10^24 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way Galaxy. Abo
    15·1 answer
  • Place the following scenarios in order by the size of their probability, largest to smallest.
    7·1 answer
  • WILL MARK BRAINLIEST!!!! Can someone help me wit des 2 questions.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!