robert7248
robert7248 robert7248
  • 01-04-2019
  • Mathematics
contestada

Solve the linear equation

[tex]4^{x+7} = 8^{2x-3}[/tex]

Respuesta :

jamuuj jamuuj
  • 01-04-2019

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

x = 5.75

Answer Link

Otras preguntas

What does this document suggest is an underlying cause of World War One?
How do you use random words in a sentence?
In what year did Abraham Lincoln formally issue the Emancipation Proclamation? a. 1861 b. 1862 c. 1863 d. 1865
What are bonds? stocks dividends certificates of deposit loans
The Dionysia was a religious festival honoring which Greek god?
80% of ____ games is 32 games
Which of the following BEST describes balanced stretching? a. stretching many groups of muscles throughout the body b. targeting a specific muscle group for s
Cancer is A. always deadly. B. an infectious disease. C. caused by uncontrolled cell division. D. spread through the body through a process called melanoma.
Who was Pericles? A. a Greek speaker whose fame eventually spread far and wide B. the leader who developed the strategies leading to Greek naval success C.
_________, a great orator, motivated Athenians to resist the expansion by Philip of Macedon. a. Philip II c. Alexander the Great b. Demosthenes d. Democritus