cherrysahi7 cherrysahi7
  • 07-09-2020
  • Mathematics
contestada

Given that √3^n = 3^x/27^y. Express n in terms of x and y.

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 07-09-2020

Answer:

Step-by-step explanation:

HEllo,

[tex](\sqrt{3})^n=3^{\frac{n}{2}}=\dfrac{3^x}{27^y}=3^x\times(3^3)^{-y}=3^{x-3y}\\\\<=>\dfrac{n}{2}=x-3y\\\\<=>\boxed{\sf \bf n= 2x-6y}[/tex]

Hope this helps

Answer Link

Otras preguntas

C. Sonia is reviewing her Spanish lessons, but she cannot remember the vocab words that match the following definitions. Help her by writing the appropriat or w
In this problem, you will investigate dilations centered at the origin with negative scale factors. b. Make a conjecture about the function relationship for a
Can someone please help me with this question Im stuck
Find the probability that there are no T when a fair coin is flipped three times.
How would you represent "the sum of five times a number and the quotient of six and a number" as an expression?Please help. ​
Which of the following is an example of a pun? A I could hear the frogs croaking and ribbeting in the swamp. B I read a book about gravity: it was pretty heavy.
Solve the following equation. (90-x)-x=18
The following step-by-step example will guide you through evaluating an expressi Consider the expression (). What is the reciprocal of the base? -4 Write your a
All of the following are TRUE of Álvar Núñez Cabeza de Vaca, EXCEPT: A He was captured and made a slave of the Karankawa tribe. B He arrived in Texas accidental
Most of the genes controlling development encode either signal molecules or ________.