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

The unit rate for 3 medium apples that have about 285 calories
What was the chief duty of Zhou kings?
n/5=10. x/1=9 a/5=3 c/7=9 i need to know what the variables are
What is the answer to a multiplication problem
What was the name of the final Nazi offensive battle of World War II? a. the Battle of Berlin b. the Battle of Normandy c. the Battle for Paris d. the Battl
What time did Mario finish homework start 3:30 end 25 min later
Which sentence uses a verb that agrees with its compound subject? a. Neither my aunts nor my uncles have arrived yet. b. Either Mario or Larry are a nominee fo
In what way did the Mongol empire affect Russia and Persia similarly? A) the Mongols established a centralized religion. B) the Mongols created a central mail s
Medications are often the complete solution for curing those with a mental health disorder. True or false
Answer question from picture.