chelseaq chelseaq
  • 26-03-2018
  • Mathematics
contestada

given that square root 8^x (4^y) = 32 Square root 2, show that 3x + 4y = 11

Respuesta :

swafim
swafim swafim
  • 26-03-2018
[tex]\sqrt{8^x}\cdot 4^y=(2^3)^{\frac 12 x }\cdot (2^2)^y\\=2^{\frac 32 x}\cdot 2^{2y}\\=2^{\frac 32 x+2y}=32\sqrt 2=2^{\frac {11}2}[/tex]

so [tex]\frac 32 x+2y=\frac {11}2[/tex]
so 3x+4y=11

if right please mark me the brainliest, thanks
Answer Link

Otras preguntas

what is 1/10 of 1000
A $250 suede jacket is on sale for 20% off. how much should you pay for the jacket
Because burning fossil fuels releases pollutants, it is necessary for us to stop doing so at once. Which statement BEST addresses the impact that this course of
What is the lcm of two numbers if one number is a multiple of the other give example
Rabies is a deadly disease that progresses rapidly. What type of treatment would be best for a person who has not been vaccinated for rabies and has been bitten
a rectangular prism is 11 3/5 meters long, 9 meters wide,and 12 1/2 meters high. What is the volume, in cubic meters, of the prism?
during the day, when the sun is shining, the ground gets warm mainly as a result of 1. the emission of greenhouse gasses from factories and vehicles 2.heat from
A contractor digs a hole for the basements of a new house that is 40 feet long and 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet of dirt a
Solve the following equations enter x-coordinate of the solution round to the nearest tenth 5y+2y=22 -2y+6y=3
12.5% of what number is 24? Please help and show work