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 did caesar do that insulted the senators
Line Segment BC has endpoints B (3,5) and C (7,15). Find the missing coordinates of A (x,9) and D (17,y) such that AB and CD are perpendicular to BC.
A cart of mass 6.0 kg moves with a speed of 3.0 m/s towards a second stationary cart with a mass of 3.0 kg. The carts move on a frictionless surface and when th
Tatiana’s book has an area of 88 square inches. What are the length and wide measurements of the book?
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it.she divides the rest of the garden into 6 sections.what fraction of the original garden is each sec
The Bush administration helped bring about the collapse of the Soviet Union by .
Given: KL ║ NM NM = 52, m∠M = 36° KN ⊥ NM , NL ⊥ LM Find: KN and KL
(a-y)^2 + 2y^3 if a=2 and y=-3
Edmund wants to identify relatively consistent patterns of thought and behavior, measure these traits, and determine how these traits interact in a particular c
Who have more populatipn de smalls country or the big