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

WILL GIVE BRAINLIEST IF ANSWERED FAST!!!
Silver, gold, platinum, are ferrous metals. TRUE OR FALSE
24-6+7 multiply by 7
Who pays personal tax to the government​
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chas
Which of the following best describes how farming was adopted? A' Farming was adopted unevenly. B' Farming was adopted completely. C' Farming was adopted linear
An airplane is preparing to land at an airport. It is 51,300 Feet above the ground and it is descending at a rate of 3100 feet per minute. At the same airport,
The Royal Botanical Gardens at Kew were famous because they were designed by a king. - True - False Answer: False (edg 24')
g is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f. Choose 1 answer: A.
3. Yesterday was _ (hot) day of the year. ​