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 main purpose of a particle accelerator is to
how would u answer #10
Why did the young wolves refuse to honor the law of the jungle.
Which type of sedimentary rock is formed from fragments of minerals or rocks? A. Caustic B. Clastic C. Intrusive D. Organic
13. Simplify: (-5-√3)^2
A ____ is an agency that provides physical facilities in the event of a disaster for a fee.
how did the printing press impact society?
how did men such as J.P morgan and john D. rockefeller amass their huge fortunes
The length of a side of a square is √7 cm. What is the perimeter of the square? (Perimeter = the distance around the outside of a shape)
What does Mr. Edwards carry in his pocket when he crosses the creek? A. sweet potatoes B. rice C. broccoli D. potatoes This is from the little hous