rose831
rose831 rose831
  • 04-01-2020
  • Mathematics
contestada

If Log x (1 / 8) = - 3 / 2, then x is equal to.

A. - 4
B. 4
C. 1 / 4
D: 0

Respuesta :

nonsibi
nonsibi nonsibi
  • 04-01-2020

[tex]log_{x}(1/8)=-3/2[/tex]

This is equal to...

[tex]x^{-3/2}=1/8[/tex]

We want "x" so we need to isolate it using laws of exponents...

[tex]x^{(-1)(3/2)}=1/8[/tex]

[tex]x^{3/2}=8[/tex] because [tex]x^{-a}=1/x^{a}[/tex]

[tex]x=\sqrt[3]{8^{2}}[/tex] because [tex]x^{a/b}=\sqrt[b]{x^{a}}[/tex]

x = 4

answer: B

Answer Link

Otras preguntas

Evaluate b^2 for b= -4
The position of a charge in an electric field gives it _____electric
What point of view does the author present in this part of the passage?
What is the area of the shaded region
If a circle has circumference 110pie, what is its area
I GIVE BRAINLIEST!!!!!!!!!!!!please help quickly!!!!!!!!!!Write an argumentative essay for or against using public money to maintain national landmarks, such as
help me with this for brainitest
If |x| = 7 and |y| = 13, then which of the following could be equal to x + y?
12 = 6(n – 7) Solve 2 -step equation
Neosho Corporation's Gauge Division manufactures and sells product no. 24, which is used in refrigeration systems. Per-unit variable manufacturing and selling