NadPlayz
NadPlayz NadPlayz
  • 27-08-2018
  • Mathematics
contestada

Given that 2^x = 7, find the value of 4^x-1.

Respuesta :

gmany
gmany gmany
  • 28-08-2018

[tex]4=2^2\\\\4^x=(2^2)^x=(2^x)^2=7^2=49\\\\4^x-1=49-1=48[/tex]


[tex]If\ is\ 4^{x-1},\ then\\\\4^{x-1}=\dfrac{4^x}{4}=\dfrac{49}{4}=12\frac{1}{4}[/tex]

[tex]Used:\\\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Answer Link
larlialaurier
larlialaurier larlialaurier
  • 16-04-2022

Answer:

49/4

Step-by-step explanation:

4^x-1 = (2^x)^2/4 = 7^2/4 = 49/4

Answer Link

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