dvsadvaith dvsadvaith
  • 11-06-2020
  • Mathematics
contestada

4^x-4^x-1=24,then find (2x)^x

Respuesta :

tramserran
tramserran tramserran
  • 11-06-2020

Answer:  5²⁻⁵

Step-by-step explanation:

[tex]4^x-4^{x-1}=24\\\\\\3(4^{x-1})=24\\\\\\4^{x-1}=8\\\\\\2^{2(x-1)}=2^3\\\\\\2(x-1)=3\\\\\\x-1=\dfrac{3}{2}\\\\\\x=\dfrac{5}{2}\quad \rightarrow x=2.5[/tex]

[tex](2x)^x\quad =(2\cdot 2.5)^{2.5}\quad =\large\boxed{5^{2.5}}[/tex]

Answer Link

Otras preguntas

In “The Cask of Amontillado,” who is the narrator, the person who tells the story? A. Luchesi B. Montresor C. Fortunato D. Amontillado
if the volume of the cube is increased by the factor of 8, what is the change in the length of the sides of the cube?
The least active elements are the _______.
Which sentences in this excerpt from "civil disobedience" by Henry David thoreau support the transcendentalist idea that the individual is more importnant than
9 more than the product of 51 and a number T
9.What is most abundant mineral group in the Earth's crust?
c=48y+0.99n solve for y
If F(x) = 2x and G(x) = log x, find F [G(x)]. 2logx log2x 2xlogx
Which of these is not a major guideline of the youth employment section of the fair labor standards act?
anet borrowed $12,500. She signed a 200-day note on August 7 at 8% interest. Find the maturity value of the note. $555.56 $200,000 $13,055.56 $30,555