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

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.
A mouse eats acorn and seeds on the ground. Then, a hawk eats the mouse. What is the hawks role in this food chain?
Propose a mechanism for the acid-catalyzed hydrolysis of cyclohexanone dimethyl acetal. (Remember that this reaction is reversible, so each step in the hydrolys
Researchers have found that boys are responded to positively when they act in masculine ways, but when they act in feminine ways they are either admonished or i
"Children, you ....cross the street if the lights are red!"should'tshouldmustmustn't​
Find the volume of the sphere. Round your answer to the nearest tenth. O 33.5 O 25.1 O16.8 O 10.7
Factor 1.21a^6+22a^3+100
Can someone help me out ?
What did the Fugitive Slave Act cause some abolitionists to do
A magnet is placed inside a small cube which is placed inside a larger cube which has eight times the volume of the smaller cube How does the net magnetic flux